How do you find the derivative of R(w)=w^3*cos(4w)? Calculus Basic Differentiation Rules Product Rule 1 Answer Sasha P. Apr 20, 2017 R'(w) = w^2(3cos4w - 4wsin4w) Explanation: R'(w) = (w^3)'cos4w + w^3 (cos4w)' R'(w) = 3w^2cos4w - 4w^3sin4w R'(w) = w^2(3cos4w - 4wsin4w) 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 1842 views around the world You can reuse this answer Creative Commons License