Home
Class 12
MATHS
If y = f(x) is continuous on [0, 6] diff...

If y = f(x) is continuous on [0, 6] differentiable on (0, 6), f(0) = -2 and f(6) = 16, then at some point between x = 0 and x = 6, f'(x) must be equal to a)`-18`b)`-3` c)3 d)14

A

`-18`

B

`-3`

C

3

D

14

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f is defined and continuous on [3, 5]and f is differentiable at x=4 and f' (4) = 6 , then the value of underset(x to 0)(lim) (f(4 + x) - f(4- x) )/( 4x) is equal to a)0 b)2 c)3 d)4

If f(x) = x^(6) + 6^(x) , then f'(x) is equal to

If f(x) = |x-2| + |x+1| - x , then f'(-10) is equal to a)-3 b)-2 c)-1 d)0

For the function, f(x)=sin2x, 0ltxltpi . Find the point between 0 and pi that satisfies f'(x)=0 .

If f be a function such that f (9) =9 and f '(9) = 3, then lim _(x to 9) ( (sqrt ( f (x)) - 3))/( sqrtx - 3) is equal to : a)9 b)3 c)1 d)6

Let f (x + y) = f(x ). f( y ) for all x and y . If f (3 ) = 3 and f ' (0) =11, then f'(3 ) is equal to a)11 b)22 c)33 d)44