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) x+x*D(x) 1-2*D(x) x-2*D(x) 1-(x+1)*D(x) (x-2))/(x-2)^2
⇒ calculus.differentiation.deriv-of-poly(x+x*D(x) 1-2*D(x) x-2*D(x) 1-(x+1)*D(x) (x-2))/(x-2)^2
⇒ calculus.differentiation.deriv-of-poly(x-2*D(x) x-2*D(x) 1-(x+1)*D(x) (x-2))/(x-2)^2
⇒ calculus.differentiation.deriv-of-poly(x-2-2*D(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