Math Problem Statement

Find the critical point of the function 

Solution

To find the critical points of a function, we need to follow these steps:

  1. Find the derivative of the function, f(x)f'(x), to determine where the slope of the tangent line is zero.
  2. Set the derivative equal to zero and solve for xx. These values of xx are potential critical points.
  3. Check for undefined points in the derivative as these may also be critical points.

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Critical Points

Formulas

f'(x) = 0

Theorems

Definition of Critical Points

Suitable Grade Level

Grades 11-12