My Learning Cart
?
Categories
Account

If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:

Options:

  1. 1
  2. 0
  3. 2
  4. 3

Correct Answer: 1

Solution: 

Evaluating f(0) = e^0 + 0^2 = 1 + 0 = 1.

If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:

Practice Questions

Q1
If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:
  1. 1
  2. 0
  3. 2
  4. 3

Questions & Step-by-Step Solutions

If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:
  • Step 1: Identify the function given in the question, which is f(x) = e^x + x^2.
  • Step 2: Substitute x = 0 into the function to find f(0).
  • Step 3: Calculate e^0, which equals 1.
  • Step 4: Calculate 0^2, which equals 0.
  • Step 5: Add the results from Step 3 and Step 4: 1 + 0 = 1.
  • Step 6: Conclude that f(0) is equal to 1.
  • Function Evaluation – The question tests the ability to evaluate a function at a specific point.
  • Understanding Minimum Points – It assesses the understanding of minimum points in the context of function behavior.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks