Gradient/Concavity 2.5 Geometrical Application of Calculus

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Presentation transcript:

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

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