What is the derivative of sin^3x? Calculus Differentiating Trigonometric Functions Limits Involving Trigonometric Functions 1 Answer roy · Aviv S. Mar 3, 2018 Basic formula: d/(dx)x^n=nx^(n-1) d/dx(sinx)=cosx Now, let's move to the question: color(white)=d/dx(sin^3x) =(3sin^2x)×(d/dx(sinx)) =3sin^2xcosx It may be useful for you👍 Answer link Related questions How do you find the limit of inverse trig functions? How do you find limits involving trigonometric functions and infinity? What is the limit lim_(x->0)sin(x)/x? What is the limit lim_(x->0)(cos(x)-1)/x? What is the limit of sin(2x)/x^2 as x approaches 0? Question #99ee1 What is the derivative of 2^sin(pi*x)? Question #eefeb Question #af14f How do we find the derivative of tanx from first principal? See all questions in Limits Involving Trigonometric Functions Impact of this question 87413 views around the world You can reuse this answer Creative Commons License