DERIVATIVE OF TAN SQUARE ROOT OF X

We know the derivative of tanx, which is sec²x.

(tanx)' = sec²x

We can find the derivative of tan(√x) using chain rule.

If y = tan(√x), find ᵈʸ⁄dₓ.

Let t = √x.

Then, we have

y = tant

By chain rule,

Substitute y = tant and t = √x.

Substitute t = √x.

Therefore,

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