Derivative of e to the Power Cscx

We know the derivative of ex, which is ex.

(ex)' = ex

We can find the derivative of ecscx using chain rule.

If y = ecscx, find ᵈʸ⁄d.

y = ecscx

Let t = cscx.

Then, we have

y = et

Now, y = et and t = cscx. That is, y is a function of t and t is a function of x.

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

Substitute y = et and t = cscx.

Substitute t = cscx.

Therefore,

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