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What is the derivative of sin(x)?

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Question: What is the derivative of sin(x)?

Options:

  1. cos(x)
  2. -cos(x)
  3. sin(x)
  4. -sin(x)

Correct Answer: cos(x)

Solution: 

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

What is the derivative of sin(x)?

Practice Questions

Q1
What is the derivative of sin(x)?
  1. cos(x)
  2. -cos(x)
  3. sin(x)
  4. -sin(x)

Questions & Step-by-Step Solutions

What is the derivative of sin(x)?
  • Step 1: Understand what a derivative is. A derivative measures how a function changes as its input changes.
  • Step 2: Identify the function we are working with, which is sin(x).
  • Step 3: Recall the basic rules of derivatives. One important rule is that the derivative of sin(x) is a known result.
  • Step 4: Apply the rule: The derivative of sin(x) is cos(x).
  • Step 5: Conclude that the answer to the question is cos(x).
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