How to implicitly differentiate the product rule with trig

The video tutorial explains the application of the chain rule in calculus, focusing on taking derivatives of functions involving sine and cosine. It emphasizes the importance of proper notation and distribution of terms. The instructor guides through the process of taking the derivative of Y with respect to X, highlighting key steps and ensuring clarity in the rewriting process.

What is the derivative of sine of Y times cosine of X?

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What should be included in the notation when distributing terms in derivatives?

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Explain the process of taking the derivative with respect to X of Y.

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What is the relationship between sine of X and cosine of Y as mentioned in the text?

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Describe the steps involved in taking the derivative of cosine of X.

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