DERIVATIVE OF SIN SQUARE ROOT OF X

We know the derivative of sinx, which is cosx.

(sinx)' = cosx

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

If y = sin(√x), find ᵈʸ⁄dₓ.

Let t = √x.

Then, we have

y = sint

By chain rule,

Substitute y = sint and t = √x.

Substitute t = √x.

Therefore,

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