Derivative of Cos(x) with Respect to x: Applying the Chain Rule

d/dx(cos(x))

To find the derivative of the function f(x) = cos(x) with respect to x, we can apply the chain rule

To find the derivative of the function f(x) = cos(x) with respect to x, we can apply the chain rule.

First, we need to identify the outer function and the inner function. In this case, the outer function is the cosine function (cos) and the inner function is simply x.

Now, we can start by differentiating the outer function and leaving the inner function as is. The derivative of cos(x) with respect to its input (x) is -sin(x). So, we have:

df(x)/dx = -sin(x)

Therefore, the derivative of cos(x) with respect to x is -sin(x).

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