Find the maximum of f(x) = -x^2 + 4x + 1.
Find the maximum of f(x) = -x^2 + 4x + 1.
Approach: Set derivative to zero.
5. f'(x) = -2x + 4. x = 2. f(2) = -4 + 8 + 1 = 5.
Follow-up: Is this a local or global maximum?
Key concepts: optimization.
Find the maximum of f(x) = -x^2 + 4x + 1.
Approach: Set derivative to zero.
5. f'(x) = -2x + 4. x = 2. f(2) = -4 + 8 + 1 = 5.
Follow-up: Is this a local or global maximum?
Key concepts: optimization.