Step 1: Identify the function f(x) = x^2 - 4x + 4.
Step 2: Find the derivative of the function, which is f'(x).
Step 3: Use the power rule to differentiate: The derivative of x^2 is 2x, and the derivative of -4x is -4.
Step 4: Combine the derivatives: f'(x) = 2x - 4.
Step 5: Now, substitute x = 2 into the derivative: f'(2) = 2(2) - 4.
Step 6: Calculate the result: f'(2) = 4 - 4 = 0.
Differentiation – The process of finding the derivative of a function, which represents the rate of change of the function with respect to its variable.
Evaluation of Derivatives – Substituting a specific value into the derivative function to find the slope of the tangent line at that point.
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