Derivative of e to the Power Secx

We know the derivative of e^x, which is e^x.

(e^x)' = e^x

We can find the derivative of e^secx using chain rule.

If y = e^secx, find ᵈʸ⁄dₓ.

y = e^secx

Let u = secx.

Then, we have

y = e^u

Now, y = e^u and u = secx. That is, y is a function of u and u is a function of x.

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

Substitute y = e^u and u = secx.

Substitute u = secx.

Therefore,

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