What is the derivative of sec?

`(d(sec x))/(dx)=sec x tan x` `(d(cot x))/(dx)=-csc^2 x` In words, we would say: The derivative of `csc x` is `-csc x cot x`, The derivative of `sec x` is `sec x tan x` and The derivative of `cot x` is `-csc^2 x`. Explore animations of these functions with their derivatives here: Differentiation Interactive Applet - trigonometric functions. read more

Sec^2(x) is a composite function that can be rewritten as (sec(x))^2. The function can be decomposed into its two component functions: h(x) = (g(x))^2 and g(x) = sec(x). To find the derivative, apply the chain rule, which is d/dx(h(g(x)) = h’(g(x))g’(x). read more