We know the derivative of tanx, which is sec^{2}x.
(tanx)' = sec^{2}x
We can find the derivative of √tanx using chain rule.
If y = √tanx, find ᵈʸ⁄dₓ.
Let t = tanx.
Then, we have
y = √t
By chain rule,
Substitute t = tanx.
Therefore,
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