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What is the derivative of f(x) = tan(x)?

Practice Questions

Q1
What is the derivative of f(x) = tan(x)?
  1. sec^2(x)
  2. csc^2(x)
  3. sec(x)
  4. tan^2(x)

Questions & Step-by-Step Solutions

What is the derivative of f(x) = tan(x)?
Correct Answer: sec^2(x)
  • Step 1: Understand that we want to find the derivative of the function f(x) = tan(x).
  • Step 2: Recall the definition of the derivative, which measures how a function changes as its input changes.
  • Step 3: Use the known derivative rule for the tangent function, which states that the derivative of tan(x) is sec^2(x).
  • Step 4: Write down the result: The derivative of f(x) = tan(x) is f'(x) = sec^2(x).
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