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What is the derivative of sin(2x)?

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Question:

What is the derivative of sin(2x)?

The Derivative of Sine and the Chain Rule:

To find the derivative of sin(2x), we must understand two basic calculus concepts:

  • The derivative of a trigonometric function. These are shown in this table.
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  • The chain rule, where we take a derivative of a function containing a parenthesis and then multiply that derivative by the derivative of what the parenthesis contains.

Answer and Explanation:

The derivative of sin(2x) is 2 cos(2x).

  • Using the chain rule for sin(2x), we first take the derivative of the sine component of sin(2x), which is…

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