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The function f(x) = x^2 - 4x + 4 is differentiable at x = 2?
The function f(x) = x^2 - 4x + 4 is differentiable at x = 2?
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Q1
The function f(x) = x^2 - 4x + 4 is differentiable at x = 2?
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f(x) is a polynomial function, hence differentiable everywhere including at x = 2.
Questions & Step-by-step Solutions
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Q
Q: The function f(x) = x^2 - 4x + 4 is differentiable at x = 2?
Solution:
f(x) is a polynomial function, hence differentiable everywhere including at x = 2.
Steps: 4
Show Steps
Step 1: Identify the function given, which is f(x) = x^2 - 4x + 4.
Step 2: Recognize that this function is a polynomial function.
Step 3: Understand that polynomial functions are smooth and continuous everywhere.
Step 4: Conclude that since f(x) is a polynomial, it is differentiable at all points, including at x = 2.
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