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/(4*x^3-2))
⇒ calculus.differentiation.quotient((4*x^3-2)*D(x) (x^2)-x^2*D(x) (4*x^3-2))/(4*x^3-2)^2
⇒ calculus.differentiation.deriv-of-poly((4*x^3-2)*2*x-x^2*D(x) (4*x^3-2))/(4*x^3-2)^2
⇒ calculus.differentiation.deriv-of-poly((4*x^3-2)*2*x-12*x^4)/(4*x^3-2)^2
⇒ algebra.equations.linear.distr-times(8*x^4-4*x-12*x^4)/(4*x^3-2)^2
⇒ algebra.equations.linear.merge(-4*x^4-4*x)/(4*x^3-2)^2