What is the derivative of y = a^9 + (cos(x))^9? Calculus Basic Differentiation Rules Chain Rule 1 Answer bp Jul 22, 2015 -9cos^8 x sinx Explanation: Use power rule to differentiate cos^9 x w.r.t cosx and then chain rule to differentiate cos x w.r.t x Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of y= 6cos(x^2) ? How do you find the derivative of y=6 cos(x^3+3) ? How do you find the derivative of y=e^(x^2) ? How do you find the derivative of y=ln(sin(x)) ? How do you find the derivative of y=ln(e^x+3) ? How do you find the derivative of y=tan(5x) ? How do you find the derivative of y= (4x-x^2)^10 ? How do you find the derivative of y= (x^2+3x+5)^(1/4) ? How do you find the derivative of y= ((1+x)/(1-x))^3 ? See all questions in Chain Rule Impact of this question 3382 views around the world You can reuse this answer Creative Commons License