Question

Find `(d^2y)/(dx^2)`, if y = x³ + 7x² – 2x – 9.

Answer 1

Given: y = x³ + 7x² – 2x – 9

Step 1: Find first derivative

Differentiate term by term:

`dy/dx = 3x^2 + 14x - 2`

Step 2: Find second derivative

Differentiate again:

`(d^2y)/(dx^2) = 6x + 14`