Home
Class 12
MATHS
Let f(x) be a function satisfying the co...

Let `f(x)` be a function satisfying the condition `f(-x) = f(x)` for all real x. If `f'(0)` exists, then its value is equal to

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(1-x)=f(x) for all x,f'(1)=0 and f'(0) exists,find its value.

Let f (x) be a function satisfying f (x) f (y) = f (xy) for all real x, y. If f (2) = 4, then what is the value of f((1)/(2)) ?

Let f be a function satisfying of x. Then f(xy)=(f(x))/(y) for all positive real numbers x and y. If f(30)=20, then find the value of f(40).

Let f:R rarr R be a function satisfying condition f(x+y^(3))=f(x)+[f(y)]^(3) for all x,y in R If f'(0)>=0, find f(10)

Let f(x) be a differentiable function satisfying the condition f((x)/(y)) = (f(x))/(f(y)) , where y != 0, f(y) != 0 for all x,y y in R and f'(1) = 2 The value of underset(-1)overset(1)(int) f(x) dx is

The curvey y=f(x) which satisfies the condition f'(x)gt0andf''(x)lt0 m for all real x, is

Consider function f satisfying f(x+4)+f(x-4)=f(x) for all real x .Then f(x) is periodic with period

If f(x) a polynomial function satisfying f(x)f(y)=f(x)+f(y)+f(xy)-2 for all real x and y and f(3)=10 ,then f(4)-8 is equal

Let f be a one-one function satisfying f'(x)=f(x) then (f^(-1))''(x) is equal to