You multiply the coefficient by the exponent and subtract 1 from the exponent.

The first function times the derivative of the second function plus the second function times the derivative of the first function. "One d two plus two d one"

The denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator. "Low d high minus high d low All over low squared"

f(x) = -4x^5 + 3x^2 - 24
First: You multiply 4 times 5 then subtract 1 from 5 to get -20x^4
Second: You multiply 3 times 2 then subtract 1 from 2 to get 6x
Third: 24 turns into 0

f(x) = (x^2 + 3)(2x^3 + 5)