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What is the second derivative of f(x) = e^x?

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Question: What is the second derivative of f(x) = e^x?

Options:

  1. e^x
  2. 0
  3. 1
  4. x

Correct Answer: e^x

Solution: 

The second derivative f\'\'(x) = e^x.

What is the second derivative of f(x) = e^x?

Practice Questions

Q1
What is the second derivative of f(x) = e^x?
  1. e^x
  2. 0
  3. 1
  4. x

Questions & Step-by-Step Solutions

What is the second derivative of f(x) = e^x?
  • Step 1: Start with the function f(x) = e^x.
  • Step 2: Find the first derivative f'(x). The derivative of e^x is e^x.
  • Step 3: Now, we have f'(x) = e^x.
  • Step 4: Find the second derivative f''(x) by taking the derivative of f'(x).
  • Step 5: The derivative of e^x is again e^x.
  • Step 6: Therefore, the second derivative f''(x) = e^x.
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