DERIVATIVE OF SQUARE ROOT OF TANX

We know the derivative of tanx, which is sec²x.

(tanx)' = sec²x

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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