derivative of sin^2(x)
2sinx cosx
To find the derivative of sin^2(x), we need to use the chain rule and the power rule.
First, we can rewrite sin^2(x) as (sin(x))^2.
Then, using the chain rule, we can take the derivative of the outer function (raising to the power of 2) and multiply it by the derivative of the inner function (sin(x)).
The derivative of sin(x) is cos(x), so we have:
d/dx [sin^2(x)] = d/dx [(sin(x))^2]
= 2(sin(x))(cos(x))
= 2sin(x)cos(x)
Therefore, the derivative of sin^2(x) is 2sin(x)cos(x).
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