Question

How do you differentiate `g(y) =(4x-5)(x-5)` using the product rule?

Answer 1

`g'(y) = 8x-25`

Explanation:

The product is not needed to differentiate this functions as we can expand it easily. We should use the power rule instead.

`g(y) = (4x-5)(x-5) = 4x^2 -25x-25`

Power rule:

`d/dx(ax^n)=anx^(n-1)`

`g'(y) = 8x -25`