Derivative of sinx
To find the derivative of sin(x), we can use the chain rule of differentiation
To find the derivative of sin(x), we can use the chain rule of differentiation. The chain rule states that if we have a composite function, f(g(x)), then the derivative is given by f'(g(x)) * g'(x).
In this case, g(x) = x and f(x) = sin(x). So, the derivative of sin(x) with respect to x is given by:
d(sin(x))/dx = cos(x) * d(x)/dx
Here, d(x)/dx is equal to 1, since x is just the identity function. Therefore, the derivative of sin(x) is:
d(sin(x))/dx = cos(x) * 1 = cos(x)
So, the derivative of sin(x) is equal to cos(x).
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