Is the function f(x) = x^2 - 2x + 1 differentiable at x = 1?
Correct Answer: Yes, f(x) is differentiable at x = 1.
- Step 1: Identify the function f(x) = x^2 - 2x + 1.
- Step 2: Recognize that this function is a polynomial.
- Step 3: Understand that polynomial functions are smooth and continuous.
- Step 4: Know that smooth and continuous functions are differentiable everywhere.
- Step 5: Conclude that since f(x) is a polynomial, it is differentiable at x = 1.
No concepts available.
