Learn to find the derivative of a function with cosine

The video tutorial explains the process of finding the derivative of a cosine function. It begins with an introduction to the example and the purpose of the exercise. The instructor then demonstrates how to extract a constant from the expression, specifically 1/2. Following this, the derivative of the cosine function is discussed, highlighting that it results in a negative sine function. The final derivative expression is formulated as negative 1/2 times the sine of X. The tutorial concludes with a summary of the steps taken to derive the expression.

What constant is mentioned in the example, and how is it used in the derivative?

Explain the process of taking the derivative of the function mentioned in the text.

What is the derivative of cosine according to the text?

What is the final expression for the derivative as stated in the text?

How does the speaker feel about the process of finding the derivative?