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+5)/(x-1))
calculus.differentiation.quotient
((x-1)*D(x) (x+5)-(x+5)*D(x) (x-1))/(x-1)^2
calculus.differentiation.deriv-of-poly
(x-1-(x+5)*D(x) (x-1))/(x-1)^2
calculus.differentiation.deriv-of-poly
(x-1-x-5)/(x-1)^2
algebra.equations.linear.merge
-6/(x-1)^2