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) ((4*x+3)/(3*x-2))
⇒ calculus.differentiation.quotient((3*x-2)*D(x) (4*x+3)-(4*x+3)*D(x) (3*x-2))/(3*x-2)^2
⇒ calculus.differentiation.deriv-of-poly((3*x-2)*4-(4*x+3)*D(x) (3*x-2))/(3*x-2)^2
⇒ calculus.differentiation.deriv-of-poly((3*x-2)*4-(4*x+3)*3)/(3*x-2)^2
⇒ algebra.equations.linear.distr-times(12*x-8-(4*x+3)*3)/(3*x-2)^2
⇒ algebra.equations.linear.distr-times(12*x-8-12*x-9)/(3*x-2)^2
⇒ algebra.equations.linear.merge-17/(3*x-2)^2