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) (2*x^3/(3*x^2-1))
⇒ calculus.differentiation.quotient((3*x^2-1)*D(x) (2*x^3)-2*x^3*D(x) (3*x^2-1))/(3*x^2-1)^2
⇒ calculus.differentiation.deriv-of-poly((3*x^2-1)*6*x^2-2*x^3*D(x) (3*x^2-1))/(3*x^2-1)^2
⇒ calculus.differentiation.deriv-of-poly((3*x^2-1)*6*x^2-12*x^4)/(3*x^2-1)^2
⇒ algebra.equations.linear.distr-times(18*x^4-6*x^2-12*x^4)/(3*x^2-1)^2
⇒ algebra.equations.linear.merge(6*x^4-6*x^2)/(3*x^2-1)^2