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)/(4*x-1))
⇒ calculus.differentiation.quotient((4*x-1)*D(x) (2*x+3)-(2*x+3)*D(x) (4*x-1))/(4*x-1)^2
⇒ calculus.differentiation.deriv-of-poly((4*x-1)*2-(2*x+3)*D(x) (4*x-1))/(4*x-1)^2
⇒ calculus.differentiation.deriv-of-poly((4*x-1)*2-(2*x+3)*4)/(4*x-1)^2
⇒ algebra.equations.linear.distr-times(8*x-2-(2*x+3)*4)/(4*x-1)^2
⇒ algebra.equations.linear.distr-times(8*x-2-8*x-12)/(4*x-1)^2
⇒ algebra.equations.linear.merge-14/(4*x-1)^2