d/dx(cos(x))
The given expression is “d/dx(cos(x))
The given expression is “d/dx(cos(x)).”
To find the derivative of cos(x) with respect to x, we can apply the chain rule. The chain rule states that if we have a composition of functions, say f(g(x)), then the derivative with respect to x is given by the derivative of the outer function evaluated at the inner function multiplied by the derivative of the inner function with respect to x.
In this case, the outer function is cos(x) and the derivative of cos(x) with respect to x is given by the derivative of the outer function evaluated at the inner function. The derivative of cos(x) is -sin(x).
So, d/dx(cos(x)) = -sin(x).
Therefore, the derivative of cos(x) with respect to x is -sin(x).
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