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-2)/(x+1))

⇒ calculus.differentiation.quotient

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

⇒ calculus.differentiation.deriv-of-poly

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

⇒ calculus.differentiation.deriv-of-poly

(x+1-x+2)/(x+1)^2

⇒ algebra.equations.linear.merge

3/(x+1)^2