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

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

Options:

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

Correct Answer: e^x

Solution: 

The derivative of e^x is e^x.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the derivative of f(x) = e^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 f(x) = e^x.
  • Step 3: Recall the special property of the exponential function e^x. The derivative of e^x is unique.
  • Step 4: Apply the rule for the derivative of e^x. It states that the derivative of e^x is e^x itself.
  • Step 5: Write down the result. Therefore, the derivative of f(x) = e^x is f'(x) = e^x.
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