DERIVATIVE OF COS SQUARE ROOT OF X

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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