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?

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

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What is the derivative of cosine according to the text?

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

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

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