Exercise calculus.differentiation.quotient
Description
Use the quotient-rule to find the derivative of a polynomial. Only remove parentheses in the numerator.
Derivation
((4*x-1)*(D(x) (2*x)+D(x) 3)-2*x*D(x) (4*x-1)-3*D(x) (4*x-1))/(4*x-1)^2
⇒ calculus.differentiation.deriv-of-poly((4*x-1)*(D(x) (2*x)+D(x) 3)-2*x*D(x) (4*x-1)-12)/(4*x-1)^2
⇒ calculus.differentiation.deriv-of-poly((4*x-1)*(2+D(x) 3)-2*x*D(x) (4*x-1)-12)/(4*x-1)^2
⇒ calculus.differentiation.deriv-of-poly((4*x-1)*2-2*x*D(x) (4*x-1)-12)/(4*x-1)^2
⇒ calculus.differentiation.deriv-of-poly((4*x-1)*2-8*x-12)/(4*x-1)^2
⇒ algebra.equations.linear.distr-times(8*x-2-8*x-12)/(4*x-1)^2
⇒ algebra.equations.linear.merge-14/(4*x-1)^2