Question

How do you find the derivative of `f(x)=(x^2+5x-3)(x^5-6x^3+3x^2-7x+1)`?

Answer 1

See below

Explanation:

You would have to use the product rule to differentiate this function, or you could open up the brackets, but this would take much longer.

Product rule:

`d/dxuv=u(dv)/dx+v(du)/dx`

`d/dxf(x)=(2x+5)(x^5-6x^3+3x^2-7x+1) + (5x-18x^2+6x-7)(x^2+5x-3)`