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

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

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER 2

    SUBHASH PUBLICATION|Exercise PART D|10 Videos
  • MODEL QUESTION PAPER 2

    SUBHASH PUBLICATION|Exercise PART E|3 Videos
  • MODEL QUESTION PAPER 2

    SUBHASH PUBLICATION|Exercise PART B|14 Videos
  • MODEL QUESTION PAPER 1

    SUBHASH PUBLICATION|Exercise PART E|3 Videos
  • MODEL QUESTION PAPER 3

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

Similar Questions

Explore conceptually related problems

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 :

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

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

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

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) = [((cos x)^(1//x),x ne 0),(k,x = 0):} is continuous at x = 0, value of k is :

If the function . f(x) = 4 xx 5^(x) for x lt 0 = 8a + x for x ge 0 , is continuous , then the value of a is

Prove that the function f(x) = 5x - 3 is continuous at x = 0, at x = -3 and at x = 5.

The function f(x)= [x] , where [x] denotes greatest integer function is continuous at __________