Question #88e03 Calculus Basic Differentiation Rules Product Rule 1 Answer Anjali G Mar 19, 2017 g'(x)=(x-5)^2(4x-7) Explanation: g(x)=color(blue)((x-1))color(red)((x-5)^3) g'(x)=color(blue)((x-1))color(red)((3)(x-5)^2(1))+color(blue)((1))color(red)((x-5)^3) g'(x)=(3x-3)(x-5)^2+(x-5)^3 g'(x)=(x-5)^2(3x-3+x-5) g'(x)=(x-5)^2(4x-7) 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 1373 views around the world You can reuse this answer Creative Commons License