d/dx(cosx)
sinx
To find the derivative of cos(x) with respect to x, you can use the chain rule for differentiation. The chain rule states that if you have a composition of functions, you need to multiply the derivative of the outer function by the derivative of the inner function.
In this case, the outer function is cos(x) and the inner function is x. Derivative of the inner function x is 1.
Now, we need to find the derivative of the outer function cos(x). The derivative of cos(x) is -sin(x).
Using the chain rule, we can calculate the derivative of cos(x) as:
d/dx(cos(x)) = -sin(x) * 1 = -sin(x)
So, the derivative of cos(x) with respect to x is -sin(x).
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