Question

How to find derivative of x^5(1- (5/x+8))

Answer 1

`5x^4-(25x^4)/(x+8)+(5x^5)/((x+8)^2)`

Explanation:

`f(x)=x^5\\f'(x)=5x^4\\g(x)=1-(5)/(x+8)\\g'(x)=(5)/((x+8)^2)\\\\(d)/(dx)f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-(5)/(x+8))+x^5((5)/((x+8)^2))\\\\=5x^4-(25x^4)/(x+8)+(5x^5)/((x+8)^2)`