Exercise calculus.differentiation.quotient

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

Derivation

Final term is not finished

(5*x^2*D(x) (3*x^3)+7*D(x) (3*x^3)-3*x^3*D(x) (5*x^2+7))/(5*x^2+7)^2

⇒ calculus.differentiation.deriv-of-poly

(45*x^4+7*D(x) (3*x^3)-3*x^3*D(x) (5*x^2+7))/(5*x^2+7)^2

⇒ calculus.differentiation.deriv-of-poly

(45*x^4+63*x^2-3*x^3*D(x) (5*x^2+7))/(5*x^2+7)^2