AP CALCULUS AB UNIT 5

• f'' +
• POI if f''(x) = 0 and changes signs
• f(x) is concave down because f''(x) < 0
• f(x) is concave up because f''(x) > 0
• closed interval = use bracket values and f'(x) = 0 values
• fractions have a 1 in numerator unless otherwise specified
• h(x) =f(x)g(x), so h'(x) = f'(x)g(x) + g'(x)f(x)
• f'(x) is below x-axis, so f(x) is decreasing
• f'(x) is above x-axis, so f(x) is increasing