For the function f(x) = x^2 - 2x + 1, find the slope of the tangent line at x =
Practice Questions
Q1
For the function f(x) = x^2 - 2x + 1, find the slope of the tangent line at x = 1.
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Questions & Step-by-Step Solutions
For the function f(x) = x^2 - 2x + 1, find the slope of the tangent line at x = 1.
Correct Answer: 0
Step 1: Identify the function given, which is f(x) = x^2 - 2x + 1.
Step 2: Find the derivative of the function, which represents the slope of the tangent line. The derivative f'(x) is calculated as follows: f'(x) = 2x - 2.
Step 3: Substitute x = 1 into the derivative to find the slope at that point. So, calculate f'(1) = 2(1) - 2.
