Differentiability
Differentiability: Overview
This topic consists of various concepts like Differentiability of a Function,Differentiability of a Function at a Point,Concept of Tangent and its Association with Derivability, etc.
Important Questions on Differentiability

Let g(x) be a polynomial of degree one & f(x) be defined by such that f(x) is continuous , then g(x) is

Consider the function and
Statement-1: The composite function is not derivable at .
Statement-2: and

Let and is a prime number. The number of points where is not differentiable is
( Here represents the greatest integer less than or equal to )

The set of all points where the function is differentiable is:

For what triplets of real numbers with the function is differentiable for all ?

The number of points at which the function can not be differentiable is

If and , then identify which of the following is correct for the function .

If function is differentiable at , find .

Let
What is the derivative of at ?

Let
What is the derivative of at ?

What is the derivative of ?

Let and be positive real numbers such that the function is differentiable for all . Then is equal to

Let and be two functions defined by and .Then is

Let denote the greatest integer function and , where is not continuous and be the number of points in , where is not differentiable. Then is equal to

Let be defined by where denotes the greatest integer function. If and respectively are the number of points in at which is not continuous and not differentiable, then is equal to ________.

Let and be the greatest integer , then the number of points, where the function is not differentiable, is

Consider the function , where, and is fractional part function.

If is differentiable at , then for is

If , then is (where, is GIF)
