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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