Question

What is the first and second derivative of `y = x^4 - 6x^2 + 8x + 8`?

Answer 1

`y''=12x^2-12`

Explanation:

In the given exercise ,the derivative of this expression based on the differentiation of the power rule that says:
`color(blue)(dx^n/dx=nx^(n-1))`

First derivative:
`y=x^4-6x^2+8x+8`
`y'=4x^3-12x+8`

Second derivative:
`y''=12x^2-12`