Question

What is a second derivative?

Answer 1

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`