Question

Please help me! Find dy/dx if y=f(x)=((x-1)^3)(x-5)

Answer 1

$y=f(x)= (x-1)^3(x-5) \\ \\ \dfrac{dy}{dx} = 3(x-1)^2(x-5) + (x-1)^3 = (x-1)^2(3x-15+x-1) =\\ = (x-1)^2(4x-16)=4(x-1)^2(x-4)$