A full list of basic differentiation formulas have been provided below for the ease of students, so that they can find all the relevant differentiation formula(s) at one place.
It’s important to memorize the various formulas as it is the basis of the chapter “Differentiation”.
Here, we have provided various forms of differentiation formula(s) ranging from Power Functions, Trigonometric Functions, Exponential Functions etc.
Differentiation of a Power Function
Where n is a fixed number, integer or rational.
Differentiation of a Constant Value
The differentiation of a constant value is always zero.
Differentiation of a Function multiplied with a constant
Differentiation of the Sum/Difference of Functions
Differentiation of the Product of Functions
If f(x) and g(x) are two differentiable functions then f(x).g(x) is also differentiable
Differentiation of the Quotient of Two Functions
If f(x) and g(x) are two differentiable functions and g(x)≠0 then f(x)/g(x) is also differentiable
Differentiation Formulas for Trigonometric Functions
Trigonometric functions can be defined as the functions of an angle of a triangle. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. To learn more about Trigonometry and its formulas check out Trigonometry Formula(s).
Differentiation Formulas for Inverse Trigonometric Functions
Inverse trigonometric functions are basically the inverse of the basic trigonometric functions i.e. sine, cosine, tangent, cotangent, secant, and cosecant functions. Differentiation of these inverse trigonometric functions are given below:
Exponential / Logarithmic Differentiation Formulas
Differentiation Formulas of Function of a Function
CHAIN RULE
If y = f(t) and t = g(x) then
This rule can be extended further.
If y = f(t) and t = g(u) and u = h(x) then
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