Basics of Differentiation
Basics of Differentiation: Overview
This topic covers concepts, such as Basics of Differentiation, Definition of Derivative (dy/dx), Physical Interpretation of Derivative (dy/dx), Geometrical Interpretation of Derivative (dy/dx), Differentiation of Trigonometric Functions, etc.
Important Questions on Basics of Differentiation
If the dependent variable y is changed to 'z' by the substitution y = tan z then the differential equation is changed to then find the value of k.

Let be a polynomial of degree such that . If the real number is such that can be expressed as where are relatively prime, then equals

if y = y(x) and it follows the relation then find (i) y' (0) and (ii) y'' (0)

Let and let be the inverse of . Find the value of where

Suppose , then is equal to

Find the derivative with respect to of the function :
at

If , then is equal to

If , find the value of .

If then what would be the value of ?





Which of the following solution is obtained when is differentiated with respect to x

, then what would be the value of


On differentiating with respect to from first principle, the solution would be:

If , then is equal to

Let where and are differentiable functions,
If then

If for and we get
