how do second derivatives work?

Question

ik it’s taking the derivative of a derivative but idk how you’re meant to do that

In: Mathematics

Answer 1

Algebraically speaking, *exactly* the same as regular derivatives. You just repeat the same action with your result. This applies to third, fourth, fifth, even billionth derivative as well 🙂

**Example:**

y=3x⁴+2x³+x²+5x+7

derivative = 12x³+6x²+2x+5

second derivative = 36x²+12x+2

third derivative = 72x+12

fourth derivative = 72

fifth derivative = 0

All of these follow the exact same mathematical rule = each one is the derivative of the previous.