Topic explanation

Standard explanation

Solve f'(x)=0 for candidates, classify them, and compare endpoints when the domain is closed.

Key points

• Stationary points and optimization
• rule
• worked example
• Stationary points and optimization: Solve f'(x)=0 for candidates, classify them, and compare endpoints when the domain is closed.
• CONCEPT AND RULE: Solve f'(x)=0 for candidates, classify them, and compare endpoints when the domain is closed.
• METHOD: For stationary points and optimization, identify the given information and required result. Select t
• Solve f'(x)=0 for candidates, classify them, and compare endpoints when the domain is closed.
• Worked pattern: For f=x^2-4x+7, f'=2x-4=0 at x=2, giving minimum 3.

Labelled diagram