Step 4: Set the derivative equal to zero to find critical points: 3x^2 - 12x + 9 = 0.
Step 5: Factor the equation: (x - 1)(x - 3) = 0.
Step 6: Solve for x by setting each factor equal to zero: x - 1 = 0 gives x = 1, and x - 3 = 0 gives x = 3.
Step 7: The critical points are x = 1 and x = 3.
Critical Points – Critical points are values of x where the derivative of the function is zero or undefined, indicating potential local maxima, minima, or points of inflection.
Derivative Calculation – Finding the derivative of a function is essential for determining critical points.
Factoring Quadratics – Factoring the derivative to find roots is a key skill in solving for critical points.
