Finding the derivative of e^sec(x)

[alpha01]

Homework Statement

derivative of e^sec(x)

The Attempt at a Solution

u = sec(x)
y = e^u

du/dx = tan(x)sec(x)
dy/du = e^u

dy/dx = dy/du * du/dx
= e^sec(x)tan(x)sec(x)

 

[Hootenanny]

Homework Statement

derivative of e^sec(x)

The Attempt at a Solution

u = sec(x)
y = e^u

du/dx = tan(x)sec(x)
dy/du = e^u

dy/dx = dy/du * du/dx
= e^sec(x)tan(x)sec(x)

Looks good to me

 

[alpha01]

thanks