Question

Differentiate each function with respect to x.This is in the topic of Differentiation-Product rule

Answer 1

y= (-2x⁴ - 3) (-2x² + 1)

Let u= + 1)²(-2x and v=⁴ - 3) (-2x

`\frac{d\text{ y}}{dx}=U\text{ }\frac{d\text{ v}}{dx}+\text{ V}\frac{d\text{ u}}{dx}`

dv/dx = -4x

du/dx = -8x³

`\frac{d\text{ y}}{dx}=(-2x^4-3)(-4x)+(-2x^2+1)(-8x^3)`