Home
Class 12
MATHS
if a function f(x) is differentiable at ...

if a function f(x) is differentiable at x= c then it is also continuous at x= c

Text Solution

Verified by Experts

The correct Answer is:
`f(x)= f( c)`.
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise CONTINUITY ( LONG ANSWER TYPE QUESTIONS-I)|25 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise DIFFERENTIABILITY ( VERY SHORT ANSWER TYPE QUESTIONS )|15 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos
  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos
  • DETERMINANTS

    OSWAAL PUBLICATION|Exercise TOPIC-2 SOLUTIONS OF SYSTEM OF LINEAR EQUATIONS (LONG ANSWER TYPE QUESTIONS -II )|24 Videos

Similar Questions

Explore conceptually related problems

If a function f(x) is differentiable at x = c prove that it is continuous at x = c.

If function f(x) is differentiable at x=a , then lim_(xtoa)(x^(2)f(a)-a^(2)f(x))/(x-a) is :

For what value the function f(x) = (3x+4tanx)/x at x = 0 is continuous

If f(x) = x^(2) "sin" (1)/(x) , where x ne 0 , then the value of the function 'f' at x = 0, so that the function is continuous at x = 0, is :

Prove that the function defined by f(x)= tan x is a continuous function.

If f(x) = x . (sin)1/x, x ne 0 , then the value of the function at x = 0, so that the function is continuous at x = 0 is

If the function f(x) = {((sin 3x)/x, x ne 0),(k/x, x = 0):} is continuous at x = 0, then k =

The function f(x) {((sin x)/x + cos x, x ne 0), (k, x = 0):} is continuous at x = 0, then the value of k is

If the function f(x) = {(1-cos x)/(x^(2)) for x ne 0 is k for x = 0 continuous at x = 0, then the value of k is

If a differentiable function f(x) has a relative minimum at x = 0, then the function y=f(x) +ax+b has a relative minimum at x = 0 for :