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Using the Chain Rule :

derivative of (sinx)2 = 2(sinx)1 * (derivative of sinx)

d/dx (Sinx)2 = 2(sinx)1 * [d/dx (Sinx)]

d/dx (Sinx)2 = 2(sinx) * (cosx)

d/dx (Sinx)2 = 2 (sinx) * (cosx)

d/dx (Sinx)2 = 2 sin(x) * cos(x)

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14y ago
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12y ago

Do you mean sin(x2) or sin(x)2?

In each case, you would apply the chain rule. The derivative of the sine function is the cosine, and the derivative with respect to x of axn is nax(n - 1).

So if you mean:

f(x) = sin(x2)

Then:

f'(x) = cos(x2) * 2x

If you mean:

f(x) = sin(x)2

Then:

f'(x) = 2sin(x) * cos(x)

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Q: How do you differentiate sine x squared?
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