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

((x-1)*D(x) (x+5)-x*(D(x) x-D(x) 1)-5*D(x) (x-1))/(x-1)^2

⇒ calculus.differentiation.deriv-of-poly

((x-1)*D(x) (x+5)-x*(1-D(x) 1)-5*D(x) (x-1))/(x-1)^2

⇒ calculus.differentiation.deriv-of-poly

((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

⇒ algebra.equations.linear.merge

(-1-5*D(x) (x-1))/(x-1)^2