What is Derivative of Cos x?

The derivative of the Cos x is -Sin x.

Derivative of the cosine function represents the rate at which the cosine curve is changing at a given point. It is equal to zero at the peaks and troughs of the cosine wave and reaches its maximum absolute value of 1.

Derivative of Cos x Formula

The formula for the derivative of Cos x is given by:

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

In other way, we can write it as:

(cos x)’ = -sin x

Derivative of Cosine Function, cos(x), with respect to x is -sin x. Derivative of Cos x is the change in the cosine function with respect to the variable x and represents its slope at any point x. Thus, in other words, we can say that the slope of cos x is – sin x for all real values x.

In this article, we will learn about the derivative of Cos x and its formula including the proof of the formula using the first principle of derivatives, quotient rule, and chain rule. Solved Problems and FAQs are also provided in the end along with some practice questions to learn the topic more clearly.