# Elaborate the steps to find (d^{2}y / dx^{2}) second order derivative of any function y = f (x)

The second-order derivative of any function is nothing but the successive derivative of its first derivative function.

## Answer: The second derivative d^{2}y / dx^{2} of any function, say y = 2x^{2} + 4 comes out to be 4.

Let's look into the following steps to solve the problem.

**Explanation**:

Let us first take f(x) = 2x^{2} +4x

(d^{2}y/dx^{2}) can be written as

(d^{2}y/dx^{2}) = d/dx (dy/dx)

Thus, first we find out dy/dx

dy/dx = d/dx (2x^{2} + 4x)

= 4x + 4

Now,

d^{2}y/dx^{2 }= d/dx (dy/dx)

= d/dx (4x +4)

= 4

### Thus, the second derivative of the function 2x^{2} + 4 comes out to be 4.

Math worksheets and

visual curriculum

visual curriculum