Let f be an even function and `f prime(0)` exists , then find `f prime(0).`

Let f be an even function and f'(0) exists, then f'(0) is

Let f be an even function and f'(0) exists, then f'(0) is

Let f be an even function and f'(x) exists, then f'(0) is

Let f be an even function and f'(x) exists, then f'(0) is

If f (x) is an even function and f'(0) exists, show that f'(0) = 0 .

Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even function. Statement 2: If f^(prime)(x) is an even function, then f(x) is an odd function.

Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even function.

Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even function.

Let f(x+y)=f(x)f(y) for all x and y . Suppose f(5)=2 and f^(prime)(0)=3 , find f^(prime)(5) .