If  , then  is

The correct answer is: An odd function

So now we have given the function as  . 

• A function is "even" when f(x) = f(−x) for all x.
• A function is "odd" when −f(x) = f(−x) for all x.

Let y = f(x) be a function of x. Then, the rate of change of “y” per unit change in “x” is given by: dy / dx
Here we have given that function:  
Differentiation it, we get:

Here we found the derivative of the given function. The power is odd in the derivative.

Now we will find whether the function is even or odd. Replacing x with -x, we get:
 

So the function is odd.

Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables. A constant function has zero derivatives. For instance, f'(x) = 0 if f(x) = 8. So the derivative function is odd.