Question: What is the slope of the tangent line to f(x) = x^2 + 2x at x = 1? (2023)
Options:
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Correct Answer: 3
Solution:
f\'(x) = 2x + 2. At x = 1, f\'(1) = 2(1) + 2 = 4.
What is the slope of the tangent line to f(x) = x^2 + 2x at x = 1? (2023)
Practice Questions
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What is the slope of the tangent line to f(x) = x^2 + 2x at x = 1? (2023)
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Questions & Step-by-Step Solutions
What is the slope of the tangent line to f(x) = x^2 + 2x at x = 1? (2023)
Step 1: Identify the function we are working with, which is f(x) = x^2 + 2x.
Step 2: Find the derivative of the function, which tells us the slope of the tangent line. The derivative f'(x) is calculated as follows: f'(x) = 2x + 2.
Step 3: Substitute the value of x = 1 into the derivative to find the slope at that point. So we calculate f'(1) = 2(1) + 2.
