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nataly862011 [7]
2 years ago
12

How do you use the product rule to find the derivative of y=x√⋅cos(x)y=sqrt(x)*cos(x) ?

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
7 0
y=\sqrt x\cos x\\
y'=(\sqrt x)'\cos x+\sqrt x (\cos x)'\\
y'=\frac{1}{2\sqrt x}\cos x+\sqrt x\cdot(-\sin x)\\
y'=\frac{1}{2\sqrt x}\cos x-\sqrt x\sin x\\

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