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) ((x+3)/(2-x^2))
⇒ calculus.differentiation.quotient((2-x^2)*D(x) (x+3)-(x+3)*D(x) (2-x^2))/(2-x^2)^2
⇒ calculus.differentiation.deriv-of-poly(2-x^2-(x+3)*D(x) (2-x^2))/(2-x^2)^2
⇒ calculus.differentiation.deriv-of-poly(2-x^2+(x+3)*2*x)/(2-x^2)^2
⇒ algebra.equations.linear.distr-times(2-x^2+2*x^2+6*x)/(2-x^2)^2
⇒ algebra.equations.linear.merge(2+x^2+6*x)/(2-x^2)^2