Question

Find the derivative of :f(x) = sec (u) = 1/cos (u)

Answer 1

To find the derivative of f(x) = sec(u) = 1/cos(u), we can use the chain rule. Let's start by finding the derivative of u with respect to x, denoted as du/dx. Then we can substitute this value into the derivative of sec(u) to get the final result.

Step-by-step explanation:

To find the derivative of f(x) = sec(u) = 1/cos(u), we can use the chain rule. Let's start by finding the derivative of u with respect to x, denoted as du/dx. Then we can substitute this value into the derivative of sec(u) to get the final result.

Derivative of u with respect to x:

du/dx

Derivative of sec(u) with respect to x:

(d/dx) sec(u) = sec(u) tan(u) (du/dx)

Answer 2

`(d)/(dx)((1)/(\cos(u)))=(d)/(dx)(sec(u))`

Using the rules of the derivate...

Answer:

`(d)/(dx)((1)/(\cos(u)))=\sec (u)\cdot\tan (u)`