Exercise calculus.differentiation.quotient

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

Rules for calculus.differentiation.quotient

Rule nameArgsUsedSiblingsRewrite rule
algebra.equations.linear.distr-times0yes
algebra.equations.linear.merge0yes
algebra.equations.linear.no-div-con0yes
algebra.equations.quadratic.distr-div0yes
algebra.equations.quadratic.distr-square0yes(a+b)^2   ⇒   ((a^2)+((2·a)·b))+(b^2)
(a-b)^2   ⇒   ((a^2)-((2·a)·b))+(b^2)
(a+b)·(a-b)   ⇒   (a^2)-(b^2)
(a-b)·(a+b)   ⇒   (a^2)-(b^2)
calculus.differentiation.deriv-of-poly0yes
calculus.differentiation.min0yesD(a) (b-c)   ⇒   (D(a) b)-(D(a) c)
calculus.differentiation.negate0yesD(a) (-b)   ⇒   -(D(a) b)
calculus.differentiation.plus0yesD(a) (b+c)   ⇒   (D(a) b)+(D(a) c)
calculus.differentiation.quotient0yesD(a) (b/c)   ⇒   ((c·(D(a) b))-(b·(D(a) c)))/(c^2)
D(a) (-(b/c))   ⇒   ((c·(D(a) (-b)))-((-b)·(D(a) c)))/(c^2)

Buggy rules for calculus.differentiation.quotient

Rule nameArgsUsedSiblingsRewrite rule