Question

What is the first and second derivative of `y = 3x^4 - 4x^2 + 2`?

Answer 1

`12x^3-8x" and "36x^2-8`

Explanation:

`"differentiate using the "color(blue)"power rule"`

`•color(white)(x)d/dx(ax^n)=nax^(n-1)`

`dy/dx=(4xx3)x^3-(2xx4)x+0`

`color(white)(dy/dx)=12x^3-8x`

`(d^2y)/(dx^2)=36x^2-8`