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-1)/(2*x+1))

⇒ calculus.differentiation.quotient

((2*x+1)*D(x) (3*x-1)-(3*x-1)*D(x) (2*x+1))/(2*x+1)^2

⇒ calculus.differentiation.deriv-of-poly

((2*x+1)*3-(3*x-1)*D(x) (2*x+1))/(2*x+1)^2

⇒ calculus.differentiation.deriv-of-poly

((2*x+1)*3-(3*x-1)*2)/(2*x+1)^2

⇒ algebra.equations.linear.distr-times

(6*x+3-(3*x-1)*2)/(2*x+1)^2

⇒ algebra.equations.linear.distr-times

(6*x+3-6*x+2)/(2*x+1)^2

⇒ algebra.equations.linear.merge

5/(2*x+1)^2