How do you differentiate #(3x-4/x)^2 (1-x+7x^2)^4#? Calculus Basic Differentiation Rules Product Rule 1 Answer t0hierry Apr 23, 2016 #2(3x - 4/x^2) (3 + 4/x^2)[(1 - x + 7 x^2)^4] +(3x - 4/x^2)^2[4(1 - x + 7 x^2)^3(-1 + 14x)# Answer link Related questions What is the Product Rule for derivatives? How do you apply the product rule repeatedly to find the derivative of #f(x) = (x - 3)(2 - 3x)(5 - x)# ? How do you use the product rule to find the derivative of #y=x^2*sin(x)# ? How do you use the product rule to differentiate #y=cos(x)*sin(x)# ? How do you apply the product rule repeatedly to find the derivative of #f(x) = (x^4 +x)*e^x*tan(x)# ? How do you use the product rule to find the derivative of #y=(x^3+2x)*e^x# ? How do you use the product rule to find the derivative of #y=sqrt(x)*cos(x)# ? How do you use the product rule to find the derivative of #y=(1/x^2-3/x^4)*(x+5x^3)# ? How do you use the product rule to find the derivative of #y=sqrt(x)*e^x# ? How do you use the product rule to find the derivative of #y=x*ln(x)# ? See all questions in Product Rule Impact of this question 1050 views around the world You can reuse this answer Creative Commons License