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+1)/(x-2))
calculus.differentiation.quotient
((x-2)*D(x) (x+1)-(x+1)*D(x) (x-2))/(x-2)^2
calculus.differentiation.deriv-of-poly
(x-2-(x+1)*D(x) (x-2))/(x-2)^2
calculus.differentiation.deriv-of-poly
(x-2-x-1)/(x-2)^2
algebra.equations.linear.merge
-3/(x-2)^2