Exercise calculus.differentiation.quotient

Description
Use the quotient-rule to find the derivative of a polynomial. Only remove parentheses in the numerator.

Derivation

(x*D(x) (1-x^3)+4*D(x) (1-x^3)-(1-x^3)*D(x) (x+4))/(x+4)^2

⇒ calculus.differentiation.deriv-of-poly

(-3*x^3+4*D(x) (1-x^3)-(1-x^3)*D(x) (x+4))/(x+4)^2

⇒ calculus.differentiation.deriv-of-poly

(-3*x^3-12*x^2-(1-x^3)*D(x) (x+4))/(x+4)^2

⇒ calculus.differentiation.deriv-of-poly

(-3*x^3-12*x^2-1+x^3)/(x+4)^2

⇒ algebra.equations.linear.merge

(-2*x^3-12*x^2-1)/(x+4)^2