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If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:
If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:
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Q1
If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:
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Evaluating f(0) = e^0 + 0^2 = 1 + 0 = 1.
Questions & Step-by-step Solutions
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Q
Q: If the function f(x) = e^x + x^2 has a minimum at x = 0, then f(0) is:
Solution:
Evaluating f(0) = e^0 + 0^2 = 1 + 0 = 1.
Steps: 6
Show Steps
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.
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