We know the derivative of e^{x}, which is e^{x}.
(e^{x})' = e^{x}
We can find the derivative of e^{cscx} using chain rule.
If y = e^{cscx}, find ᵈʸ⁄dₓ.
y = e^{cscx}
Let t = cscx.
Then, we have
y = e^{t}
Now, y = e^{t }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 = e^{t} and t = cscx.
Substitute t = cscx.
Therefore,
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