A Differentiation formulas list has been provided here for students so that they can refer to these to solve problems based on differential equations. This is one of the most important topics in higher class Mathematics. The general representation of the derivative is d/dx.
Differentiation Formulas List
Some of the general differentiation formulas are;
- 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/dx(f/g) = (gf′–fg′)/g2
Differentiation Formulas for Trigonometric Functions
formulas for derivatives of trigonometric functions and hyperbolic functions.
Differentiation Formulas for Inverse Trigonometric Functions
formulas for derivatives of inverse trigonometric functions.
Frequently Asked Questions – FAQs
The general representation of the derivative is d/dx. This denotes the differentiation with respect to the variable x.
(d/dx)(uv) = v(du/dx) + u(dv/dx)
This formula is used to find the derivative of the product of two 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 x cot x
(d/dx) sec x = sec x tan x
(d/dx) cot x = -cosec^2 x