What is the derivative of #y=sec^3(x)#? Calculus Differentiating Trigonometric Functions Derivatives of y=sec(x), y=cot(x), y= csc(x) 1 Answer Gaurav · Amory W. · dwayne Jul 25, 2014 Answer is #y' = 3* sec^2x*secx*tanx# The solution is, For problems like these, #y=f(x)^n# then #y' = n*f(x)^(n-1)*f'(x)# (this is the Power Chain Rule) Similarly for the question asked above #y' = 3* sec^2x*secx*tanx# Answer link Related questions What is Derivatives of #y=sec(x)# ? What is the Derivative of #y=sec(x^2)#? What is the Derivative of #y=x sec(kx)#? What is the Derivative of #y=sec ^ 2(x)#? What is the derivative of #y=4 sec ^2(x)#? What is the derivative of #y=ln(sec(x)+tan(x))#? What is the derivative of #y=sec^2(x)#? What is the derivative of #y=sec^2(x) + tan^2(x)#? What is the derivative of #y=sec(x) tan(x)#? What is the derivative of #y=x sec(kx)#? See all questions in Derivatives of y=sec(x), y=cot(x), y= csc(x) Impact of this question 67478 views around the world You can reuse this answer Creative Commons License