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 7937 views around the world You can reuse this answer Creative Commons License