Exercise calculus.differentiation.quotient

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

Derivation

D(x) ((x-3)/(x+4))

⇒ calculus.differentiation.quotient

((x+4)*D(x) (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