Question

How do you find the derivative of `y=(x^2+5)^2`?

Answer 1

`y' = 4x(x^2 + 5)`

Explanation:

Use the chain rule and the power rule: `(u^n)' = n u^(n-1) u'`

`y' = 2(x^2 + 5)^1 (2x)`
`y' = 4x(x^2 + 5)`