Question

Give me an example of the product rule

Answer 1

A simple example: Say that f(x) is x+1 and g(x) is x^2. While f(x)g(x) would be (x+1)x^2, f of g of x would be x^2+1. Continuing on with the same example, the f(x)g(x) derivative with the product rule would give x^2+2x(x+1), and the f of g of x derivative would be 2x.

Explanation:

Really hope this could help - Good luck and have a nice day ^w

Answer 2

`\rm \: Find \: the \: derivative \: of \: t he \: function`

`\rm \: f(x) = (3x - 2x^2)(5 + 4x).`

`\rm \: Following \: the \: Product \: rule \: we \: have,`

`\rm \: f ' (x) = (3x - 2x^2)(0 + 4) + (5 + 4x) (3 - 4x)=12x - 8x^2 + 15 + 12x - 20x - 16x^2= - 24x^2 +4x + 15`