How to Find the Derivative of Cos(x) Using Basic Differentiation Rules

Derivitive of cos(x)

The derivative of cos(x) can be found using the basic rules of differentiation

The derivative of cos(x) can be found using the basic rules of differentiation.

The derivative of cos(x) is equal to the negative sine of x. In notation, we write:

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

To derive this result, we can use the chain rule. The derivative of the outer function cos(x) is -sin(x), and the derivative of the inner function x is 1. Multiplying these two results gives us the derivative of cos(x):

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

Keep in mind that this result holds true for any value of x. Therefore, if you want to find the derivative of cos(x) at a specific point, you can simply substitute that value into the equation.

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