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

⇒ calculus.differentiation.deriv-of-poly

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

⇒ calculus.differentiation.deriv-of-poly

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

⇒ calculus.differentiation.deriv-of-poly

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

⇒ calculus.differentiation.deriv-of-poly

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

⇒ calculus.differentiation.deriv-of-poly

(x+4-x+3)/(x+4)^2

⇒ algebra.equations.linear.merge

7/(x+4)^2