What is a second derivative?

1 Answer
Mar 10, 2018

Answer:

See below.

Explanation:

The second derivative is the derivative of the derivative of a function.

Let's take a random function, say #f(x)=x^3#. The derivative of #f(x)#, that is, #f'(x)#, is equal to #3x^2#.

The second derivative of #x^3# is the derivative of #3x^2#. That's #6x#.

So we say that the second derivative of #f(x)=x^3#, or #f''(x)#, is equal to #6x#