How do you differentiate sin^7(x)? Calculus Basic Differentiation Rules Chain Rule 1 Answer Eddie Jun 29, 2016 = 7 sin ^6 x \ cos x Explanation: D(sin^7 x) by power rule and chain rule = 7 sin ^6 x * D(sin x) = 7 sin ^6 x \ cos 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 2782 views around the world You can reuse this answer Creative Commons License