d/dx [cosx]=
To find the derivative of the cosine function with respect to x, we can use the chain rule
To find the derivative of the cosine function with respect to x, we can use the chain rule.
The chain rule states that if we have a composition of functions, say f(g(x)), then the derivative of the composition is given by the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.
In this case, we have the function f(x) = cos(x). The derivative of cosine is -sin(x). Since the inner function is x itself, the derivative of the inner function is simply 1. Therefore, applying the chain rule, we have:
d/dx [cos(x)] = -sin(x) * 1 = -sin(x).
So, the derivative of the cosine function with respect to x is -sin(x).
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