If a function f: [-2a, 2a] -> R is an od...

If a function `f: [-2a, 2a] -> R` is an odd function such that, `f(x) = f(2a - x)` for `x in [a, 2a]` and the left-hand derivative at `x = a` is `0`, then find the left-hand derivative at `x = -a`.

Verified by Experts

The correct Answer is:

0

Similar Questions

Explore conceptually related problems

Find the derivative of f(x) = x^(2) .

Find the derivative of f(x)=(1)/(x)

Find the derivative at x = 2 of the function f(x) = 3x .

Find the derivative of f(x) =(x+1)/(x)

find the derivative of f(x)=10x

The left hand derivative of f(x)=[x]sin(pix) at x = k , k is an integer, is

Range of the function f: R rarr R, f(x)= x^(2) is………

Compute the derivative of f(x) = sin^(2) x.

Find the derivative of f(x) = 3 at x = 0 and at x = 3.