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-x^3)/(x+4))
⇒ calculus.differentiation.quotient((x+4)*D(x) (1-x^3)-(1-x^3)*D(x) (x+4))/(x+4)^2
⇒ calculus.differentiation.deriv-of-poly(-(x+4)*3*x^2-(1-x^3)*D(x) (x+4))/(x+4)^2
⇒ calculus.differentiation.deriv-of-poly(-(x+4)*3*x^2-1+x^3)/(x+4)^2
⇒ algebra.equations.linear.distr-times(-3*x^3-12*x^2-1+x^3)/(x+4)^2
⇒ algebra.equations.linear.merge(-2*x^3-12*x^2-1)/(x+4)^2