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) ((1-2*x^3)/(x+1))
⇒ calculus.differentiation.quotient((x+1)*D(x) (1-2*x^3)-(1-2*x^3)*D(x) (x+1))/(x+1)^2
⇒ calculus.differentiation.deriv-of-poly(-(x+1)*6*x^2-(1-2*x^3)*D(x) (x+1))/(x+1)^2
⇒ calculus.differentiation.deriv-of-poly(-(x+1)*6*x^2-1+2*x^3)/(x+1)^2
⇒ algebra.equations.linear.distr-times(-6*x^3-6*x^2-1+2*x^3)/(x+1)^2
⇒ algebra.equations.linear.merge(-4*x^3-6*x^2-1)/(x+1)^2