## d/dx(cosx)

### To find the derivative of the function f(x) = cos(x), we can use the chain rule in calculus

To find the derivative of the function f(x) = cos(x), we can use the chain rule in calculus. The chain rule states that if we have a composition of functions, we need to multiply the derivative of the outer function by the derivative of the inner function.

In this case, the outer function is the cosine function and the inner function is x. The derivative of the cosine function, denoted as d/dx cos(x), is equal to -sin(x). In other words, the rate of change of the cosine function with respect to x is equal to negative sine of x.

Therefore, we have:

d/dx(cos(x)) = -sin(x)

So, the derivative of the cosine function is equal to negative sine of x.

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