d/dx(cosx)
sinx
To find the derivative of cos(x) with respect to x, we can use the chain rule. The chain rule states that if we have a function f(g(x)), then the derivative is f'(g(x)) * g'(x).
In this case, our function is cos(x), so g(x) = x. Thus, we have f(g(x)) = cos(x) and g(x) = x.
Now, we need to find the derivative of cos(x) with respect to x using the chain rule:
f'(g(x)) = -sin(g(x)) = -sin(x)
g'(x) = 1
So, putting it all together, we have:
d/dx(cos(x)) = f'(g(x)) * g'(x) = -sin(x) * 1 = -sin(x)
Therefore, the derivative of cos(x) with respect to x is -sin(x).
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