Is the derivative of sin^3[x] 3sin^2[x] (cos^3[x])? Calculus Differentiating Trigonometric Functions Differentiating sin(x) from First Principles 1 Answer Sasha P. Oct 23, 2015 Nope. See the explanation. Explanation: f(x)=sin^3x f'(x) = ((sinx)^3)' = 3(sinx)^2 * (sinx)' = 3(sinx)^2 * cosx f'(x) = 3sin^2xcosx Answer link Related questions How do you differentiate f(x)=sin(x) from first principles? What is the derivative of y=3sin(x) - sin(3x)? How do you find dy/dx if x + tan(xy) = 0? How do you find the derivative of the function y=cos((1-e^(2x))/(1+e^(2x)))? How do you differentiate f(x)=2secx+(2e^x)(tanx)? How do you find the derivate for y = pisinx - 4cosx? How do you find the derivative of f(t) = t^2sin t? What is the derivative of sin^2(lnx)? How do you compute the 200th derivative of f(x)=sin(2x)? How do you find the derivative of sin(x^2+1)? See all questions in Differentiating sin(x) from First Principles Impact of this question 2273 views around the world You can reuse this answer Creative Commons License