Exercise calculus.differentiation.quotient
Description
Use the quotient-rule to find the derivative of a polynomial. Only remove parentheses in the numerator.
Derivation
(x*D(x) 5-D(x) 5-5*(D(x) x-D(x) 1))/(x-1)^2
⇒ calculus.differentiation.deriv-of-poly(-D(x) 5-5*(D(x) x-D(x) 1))/(x-1)^2
⇒ calculus.differentiation.deriv-of-poly-5*(D(x) x-D(x) 1)/(x-1)^2
⇒ calculus.differentiation.deriv-of-poly-5*(1-D(x) 1)/(x-1)^2
⇒ calculus.differentiation.deriv-of-poly-5/(x-1)^2