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:
- Find the derivative of the function, , to determine where the slope of the tangent line is zero.
- Set the derivative equal to zero and solve for . These values of are potential critical points.
- 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