Question

Find the derivative of x2/8-8x

Answer 1

`h(x)=(x^2)/(8-8x)\\\\h'(x)=\left((x^2)/(8-8x)\right)'\\\\\text{use}\ \left((f(x))/(g(x))\right'=(f'(x)g(x)-f(x)g'(x))/([g(x)]^2)\\\\f(x)=x^2\to f'(x)=(x^2)'=2x\\\\g(x)=8-8x\to g'(x)=(8-8x)'=-8\\\\\text{substitute}\\\\h'(x)=(2x(8-8x)-x^2(-8))/((8-8x)^2)=(16x-16x^2+8x^2)/((8-8x)^2)=(16x-8x^2)/((8-8x)^2)`