Derivative of e to the Power Sec Square Root x

We know the derivative of ex, which is ex.

(ex)' = ex

We can find the derivative of ecscx using chain rule.

Find ᵈʸ⁄d, if

y = esecx

Let u = x.

y = esecu

Let v = secu.

y = ev


y = ev ----> y is a function of v

v = secu ----> v is is a function of u

u = x ----> u is is a function of x

By chain rule, the derivative of y with respect to x :

Substitute y = ev, v = secu and u = x.

Substitute v = secu.

Substitute u = x.


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