An Exploration of the Chain Rule: Finding the Derivative of cos(x)

Derivative of cosx

The derivative of cos(x) can be found using different methods

The derivative of cos(x) can be found using different methods. One common method is using the chain rule.

The chain rule states that if we have a function f(g(x)), then the derivative of f(g(x)) with respect to x is given by the product of the derivative of f with respect to g(x), and the derivative of g(x) with respect to x.

In the case of cos(x), we can rewrite it as f(g(x)) where f(x) = cos(x) and g(x) = x. The derivative of f(x) = cos(x) with respect to g(x) = x is simply -sin(g(x)).

Therefore, the derivative of cos(x) with respect to x is:

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

So, the derivative of cos(x) is -sin(x).

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