Exercise calculus.differentiation.quotient

Description
Use the quotient-rule to find the derivative of a polynomial. Only remove parentheses in the numerator.

Derivation

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

⇒ calculus.differentiation.deriv-of-poly

((x+4)*(D(x) x-D(x) 3)-(x-3)*(1+D(x) 4))/(x+4)^2

⇒ calculus.differentiation.deriv-of-poly

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

⇒ calculus.differentiation.deriv-of-poly

((x+4)*(1-D(x) 3)-x+3)/(x+4)^2

⇒ calculus.differentiation.deriv-of-poly

(x+4-x+3)/(x+4)^2

⇒ algebra.equations.linear.merge

7/(x+4)^2