If `f(x)` is an even function, then write whether `f^(prime)(x)` is even or odd.

If f(x) is an odd function, then write whether f^(prime)(x) is even or odd.

If f(x) is an even function,then write whether f'(x) is even or odd.

If f(x) is an odd function,then write whether f'(x) is even or odd.

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.

If f(x) is an even function, state whether f'(x) is an odd function or an even 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.

Whether function,f(x)=|x|-tan x is even or odd.

Determine whether the function f(x)=sinx+cosx is even or odd.

Statement - I : If f(x) is an odd function, then f'(x) is an even function. Statement - II : If f'(x) is an even function, then f(x) is an odd function.