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) (3*x^2/(2*x^3+4))
⇒ calculus.differentiation.quotient((2*x^3+4)*D(x) (3*x^2)-3*x^2*D(x) (2*x^3+4))/(2*x^3+4)^2
⇒ calculus.differentiation.deriv-of-poly((2*x^3+4)*6*x-3*x^2*D(x) (2*x^3+4))/(2*x^3+4)^2
⇒ calculus.differentiation.deriv-of-poly((2*x^3+4)*6*x-18*x^4)/(2*x^3+4)^2
⇒ algebra.equations.linear.distr-times(12*x^4+24*x-18*x^4)/(2*x^3+4)^2
⇒ algebra.equations.linear.merge(-6*x^4+24*x)/(2*x^3+4)^2