How do you find the derivative of #f(x)=(x^2-5x+2)(x-2/x)#? Calculus Basic Differentiation Rules Product Rule 1 Answer Sasha P. Oct 7, 2015 #f'(x)=3x^2-10x+4/x^2# Explanation: #f(x)=x^3-5x^2+2x-2x+10-4/x# #f(x)=x^3-5x^2+10-4/x# #f'(x)=3x^2-10x+4/x^2# 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 1432 views around the world You can reuse this answer Creative Commons License