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)/(6-5*x)+4*x^2)

⇒ calculus.differentiation.plus

D(x) ((2*x^3-4)/(6-5*x))+D(x) (4*x^2)

⇒ calculus.differentiation.quotient

((6-5*x)*D(x) (2*x^3-4)-(2*x^3-4)*D(x) (6-5*x))/(6-5*x)^2+D(x) (4*x^2)

⇒ calculus.differentiation.deriv-of-poly

((6-5*x)*6*x^2-(2*x^3-4)*D(x) (6-5*x))/(6-5*x)^2+D(x) (4*x^2)

⇒ calculus.differentiation.deriv-of-poly

((6-5*x)*6*x^2+(2*x^3-4)*5)/(6-5*x)^2+D(x) (4*x^2)

⇒ calculus.differentiation.deriv-of-poly

((6-5*x)*6*x^2+(2*x^3-4)*5)/(6-5*x)^2+8*x

⇒ algebra.equations.linear.distr-times

(36*x^2-30*x^3+(2*x^3-4)*5)/(6-5*x)^2+8*x

⇒ algebra.equations.linear.distr-times

(36*x^2-30*x^3+10*x^3-20)/(6-5*x)^2+8*x

⇒ algebra.equations.linear.merge

(36*x^2-20*x^3-20)/(6-5*x)^2+8*x