Differentiation Formulas List
- Power Rule: (d/dx) (xn ) = nxn-1
- Derivative of a constant, a: (d/dx) (a) = 0
- Derivative of a constant multiplied with function f: (d/dx) (a. f) = af’
- Sum Rule: (d/dx) (f ± g) = f’ ± g’
- Product Rule: (d/dx) (fg) = fg’ + gf’
- Quotient Rule: d d x ( f g) = g f ′ – f g ′ g 2
Full Answer
How to derive physics formulas?
There are few derivations done below to describe how to derive physics formulas. A uniform magnetic field B is represented by parallel lines. NS is a bar magnet with the length 2l and strength at each pole is m. → The magnet is held at an angle Ө with the direction of B.
What are the chemical formulas and their common names?
List of Chemical Formulas and their Common Names with Chemical Compounds Compound name - Molecular Formula Molecular weight 1 Acetic acid - CH 3 COOH 60.052 g/mol 2 Hydrochloric acid - HCl 36.458 g/mol 3 Sulfuric acid - H 2 SO 4 98.072 g/mol 4 Acetate - CH 3 COO – 59.044 g/mol 43 more rows ...
What is a derivation in physics?
In Physics, it’s all about a better understanding of the basics. The derivation in physics defines the origination of some mathematical algorithm by understanding any physical phenomena. On this page, we will learn about the following:
How to find the derivative of the product of two functions?
(d/dx) (uv) = v (du/dx) + u (dv/dx) This formula is used to find the derivative of the product of two functions. Quiz on Differentiation Formulas Put your understanding of this concept to test by answering a few MCQs.
What are the formulas of differentiation?
The formulas of differentiation that helps in solving various differential equations include: Derivatives of basic functions Derivatives of Logar...
What are the basic rules of differentiation?
The basic rule of differentiation are: Power Rule: (d/dx) (x n ) = nx {n-1} Sum Rule: (d/dx) (f ± g) = f’ ± g’ Product Rule: (d/dx) (fg)= fg’ +...
What are the derivatives of trigonometric functions?
The derivatives of six trigonometric functions are: (d/dx) sin x = cos x (d/dx) cos x = -sin x (d/dx) tan x = sec 2 x (d/dx) cosec x = -cosec...
What is d/dx?
The general representation of the derivative is d/dx. This denotes the differentiation with respect to the variable x.
What is a UV formula?
(d/dx)(uv) = v(du/dx) + u(dv/dx) This formula is used to find the derivative of the product of two functions.
What is the titer of a solution?
a measured amount of a solution of unknown concentration is added to a known volume of a second solution until the reaction between them is just complete; the concentration of the unknown solution (the titer) can then be calculated
What is the chemical reaction in which an acid and a base interact with the formation of a salt?
a chemical reaction in which an acid and a base interact with the formation of a salt; with strong acids and bases the essential reaction is the combination of hydrogen ions with hydroxyl ions to form water
What is the most common inorganic chemical used in the production of nylons, fibers, plastics, poly
For example: Ammonia is a nitrogen source in fertilizer, and it is one of the major inorganic chemicals used in the production of nylons, fibers, plastics, polyurethanes (used in tough chemical-resistant coatings, adhesives, and foams), hydrazine (used in jet and rocket fuels), and explosives.
What is the bond between two atoms?
a chemical bond consisting of a hydrogen atom between two electronegative atoms (e.g., oxygen or nitrogen) with one side be a covalent bond and the other being an ionic bond
What is the dimensional formula in physics?
Ans: The expressions or formulae in physics tell us how and what of the fundamental quantities that are present in a physical quantity and such expressions are called the dimensional formula of that physical quantity. The dimensional formula helps in deriving units from one system to another.
What is the meaning of "derivation"?
Derivation means the action of obtaining something from a source or origin. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. In general, this points to an important conclusion about nature itself.
How are equations used in everyday life?
They are the mathematical representation of the things and they are useful to solve our daily life problem. They allow us to explain the past, and gives us the logics of the same via mathematical equations, and predict the future - as far as the ultimate fate of the Universe.
What is the generic position vector for all the particles of the object?
where R is the position vector for center of mass, r is the generic position vector for all the particles of the object and N is the total number of particles.
What is thermodynamics in science?
Thermodynamics is a vast field providing an analysis of the behavior of matter in bulk. It’s a field focused on studying matter and energy in all their manifestations. Here are some of the most important formulas associated with classical thermodynamics and statistical physics.
What is the joy of solving a physics problem?
The joy of having solved a physics problem on your own, is worth all the effort! Understanding physics concepts challenges your imagination and thinking potential, wherein , if you visualize a problem, then you can come up with a solution. So here is the promised list which will help you out.
What is quantum physics?
Quantum Physics. Quantum physics is one of the most interesting branches of physics, which describes atoms and molecules, as well as atomic sub-structure. Here are some of the formulas related to the very basics of quantum physics, that you may require frequently.
What is the kinetic theory of gases?
Based on the primary assumptions that the volume of atoms or molecules is negligible, compared to the container volume and the attractive forces between molecules are negligible, the kinetic theory describes the properties of ideal gases. Here are the most important physics formulas related to the kinetic theory of monatomic gases.
What is the unit of capacitance?
Here are the most important formulas related to capacitors. Unit of capacitance is Farad (F) and its values are generally specified in mF (micro Farad = 10 -6 F).
Why Do We Derive Physics formulas?
How to Derive Physics equations?
| COMPOUND NAME - MOLECULAR FORMULA | MOLECULAR WEIGHT | |
|---|---|---|
| 74 | Sucrose - C12H22O11 | 342.30 g/mol |
| 46 | Sucrose - C12H22O11 | 342.2965 g/mol |
| 30 | Aluminium sulfate - Al2(SO4)3 | 342.15 g/mol |
| 76 | Aluminium Sulfate - Al2(SO4)3 | 342.15 g/mol |
| 96 | Methylene blue - C16H18ClN3S | 319.85 g/mol |
| 77 | Phenolphthalein - C20H14O4 | 318.32 g/mol |
| 100 | Stearic acid - C18H36O2 | 284.484 g/mol |
| 43 | Magnesium phosphate - Mg3(PO4)2 | 262.855 g/mol |
How to Derive Physics formulas?
Deriving Physics Formulas
- Mathematical derivations are important in deriving the physical equations because it helps to make us understand where the equation came from, why that is the equation for a particular problem.
Heat Engine
- Physics formulas are derived from observations and experiments. There are few derivations done below to describe how to derive physics formulas.
The Total Energy in S.H.M
- Torque on a Bar Magnet A uniform magnetic field B→is represented by parallel lines. NS is a bar magnet with the length 2l and strength at each pole is m. The magnet is held at an angle Ө with the direction of B→. (Image will be uploaded soon) (Image will be uploaded soon) Force on North pole = mB, along B→ Force on South pole = mB, opposite to B→ T...
Kinetic Energy
- A heat engine is a device that converts heat energy into mechanical energy without the change in the internal energy of the system. A heat engine essentially consists of the following components: 1. Source of heat at high temperatures 2. Working substance 3. Sink of heat at a lower temperature
Deriving Physics Equations
- Simple harmonic motion is the motion executed by a point mass subjected to a force that is proportional to the displacement of the particle but opposite in sign. A particle executing S.H.M possess the following: Potential energy and Kinetic energy Potential energy. This is on account of the displacement of the particle from its mean position. Consider a particle of mass m, executin…
Velocity-Time Relation
- This energy is on account of the velocity of the particle. Kinetic energy at the instant time t is given by Kk=12mV2(Substituting the value of ‘V’ from eq(2)) Kk=12m(aωCosωt)2=12ma2ω2(1−Sin2ωt) Kk=12ha2(1−y2a2)
Summary
- Equation of uniformly accelerated motion by calculus method Consider a body having linear motion with uniform acceleration a. Let v1and v2be the velocity of a body at time t1and t2respectively.
Mechanics
- Let at an instant time t, the velocity be v, and change in velocity be dv in time interval dt. Acceleration=a=dvdt dv = adt…..(1) Integrating eq(1) with conditions when velocity v1changes to v2and time t1to t2 ∫v1v2dv=a∫t1t2dt v2−v1=a(t2−t1) If initial velocity V1= u, final velocity v2=v, and time t1=0 then t2=t. Displacement -time relation: v = \frac{ds}{dt} ds = v dt ds = (v_{o} + at)dt ∫so…
Electricity
- Derivation means the action of obtaining something from a source or origin.
- Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. In general, this points to an important conclusion about nature itself.
Thermodynamics Formulas
- Motion in One Dimension
The formulas for motion in one dimension (Also called Kinematical equations of motion) are as follows. (Here ‘u’ is initial velocity, ‘v’ is final velocity, ‘a’ is acceleration and t is time): 1. s = ut + ½ at2 2. v = u + at 3. v2= u2+ 2as 4. vav(Average Velocity) = (v+u)/2 - Momentum, Force and Impulse
Formulas for momentum, impulse and force concerning a particle moving in 3 dimensions are as follows (Here force, momentum and velocity are vectors ): 1. Momentum is the product of mass and velocity of a body. Momentum is calculate using the formula: P = m (mass) x v (velocity) 2. …
Relativistic Mechanics
- Ohm’s Law
Ohm’s law gives a relation between the voltage applied a current flowing across a solid conductor: V (Voltage) = I (Current) x R (Resistance) - Power
In case of a closed electrical circuit with applied voltage V and resistance R, through which current I is flowing, = I2R. . . (because V = IR, Ohm’s Law) Kirchoff’s Voltage Law For every loop in an electrical circuit: ΣiVi= 0 where Viare all the voltages applied across the circuit.
Optics
- Thermodynamics is a vast field providing an analysis of the behavior of matter in bulk. It’s a field focused on studying matter and energy in all their manifestations. Here are some of the most important formulas associated with classical thermodynamics and statistical physics.
Quantum Physics
- Here are some of the most important relativistic mechanics formulas. The transition from classical to relativistic mechanics is not at all smooth, as it merges space and time into one by taking away the Newtonian idea of absolute time. If you know what is Einstein’s special theory of relativity, then the following formulas will make sense to you.