How do you find the derivative of #y = 4 / cosx#? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Eddie Jun 22, 2016 #4 sec x tan x# Explanation: #( 4 / cosx)' = 4 (( cosx)^{-1} )'# #= 4 (-1( cosx)^{-2} (-sin x))# #= 4 (1/( cosx)^{2} (sin x))# #= 4 sec x tan x# Answer link Related questions What is the derivative of #y=cos(x)# ? What is the derivative of #y=tan(x)# ? How do you find the 108th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x)# from first principle? How do you find the derivative of #y=cos(x^2)# ? How do you find the derivative of #y=e^x cos(x)# ? How do you find the derivative of #y=x^cos(x)#? How do you find the second derivative of #y=cos(x^2)# ? How do you find the 50th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x^2)# ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 7582 views around the world You can reuse this answer Creative Commons License