1. Gradient/Concavity 2.5 Geometrical Application of Calculus
+ve Gradient - f’(x) > 0
-ve Gradient - f’(x) < 0
Concave Up - f’’(x) > 0
Concave Up - f’’(x) > 0
-ve Gradient - f’(x) < 0
+ve Gradient - f’(x) > 0
Concave Down - f’’(x) < 0
Concave Down - f’’(x) < 0

2. Gradient/Concavity 2.5 Geometrical Application of Calculus
Increasing - f’(x) > 0
Decreasing - f’(x) < 0
Rate of change
Increasing - f’’(x) > 0
Rate of change
Increasing - f’’(x) > 0
Decreasing - f’(x) < 0
Increasing - f’(x) > 0
Rate of change
Decreasing - f’’(x) < 0
Rate of change
Decreasing - f’’(x) < 0