Derivative of sin(x)
The derivative of sin(x) can be found by using the chain rule
The derivative of sin(x) can be found by using the chain rule. The chain rule states that if we have a composite function, in this case sin(x), then its derivative is the derivative of the outer function (in this case sin) multiplied by the derivative of the inner function (which is x).
Applying the chain rule, we first find the derivative of the outer function sin(x), which is cos(x). Then we multiply it by the derivative of the inner function x, which is 1. So, the derivative of sin(x) is:
d/dx sin(x) = cos(x) * 1 = cos(x)
Hence, the derivative of sin(x) is cos(x).
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