d/dx[cosx]
To find the derivative of cos(x), we can use the chain rule
To find the derivative of cos(x), we can use the chain rule. The chain rule states that if we have a composite function, the derivative of the outer function multiplied by the derivative of the inner function gives us the derivative of the entire function.
In this case, we have the function cos(x), which is a composite function because it is the cosine of x. The outer function is the cosine function, and the inner function is x.
We know that the derivative of the cosine function is the negative sine function, so we can write the derivative as:
d/dx[cosx] = -sin(x)
Therefore, the derivative of cos(x) is -sin(x).
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