We know the derivative of cosx, which is -sinx.
(cosx)' = -sinx
We can find the derivative of cos(√x) using chain rule.
If y = cos(√x), find ᵈʸ⁄dₓ.
Let t = √x.
Then, we have
y = cost
By chain rule,
Substitute y = cost and t = √x.
Substitute t = √x.
Therefore,
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