We know the derivative of ex, which is ex.
(ex)' = ex
We can find the derivative of e to power x2 using chain rule.
Find ᵈʸ⁄dₓ, if
Let t = x2.
Then, we have
y = et
Now, y = et and t = x2. 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 = x2.
Substitute t = x2.
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