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## Transcript

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Chapter 12 - Differentiation

LO's

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Chapter 12 - Differentiation

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12.2 - Finding the derivative

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12.2 - Finding the derivative

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12.3 - Differentiating xn

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12.3 - Differentiating xn

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12.5 - Differentiating functions with two or more terms

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12.5 - Differentiating functions with two or more terms

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12.6 - Gradients, tangents and normals

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12.6 - Gradients, tangents and normals

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12.7 - Increasing and decreasing functions

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12.7 - Increasing and decreasing functions

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12.8 - Second order derivatives

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12.8 - Second order derivatives

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12.9 - Stationary points

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12.9 - stationary points

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12.9 - stationary points

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12.9 - stationary points

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12.9 - stationary points

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12.11 - modelling with differentiation

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12.11 - modelling with differentiation

### Chapter 11 Learning Objectives

• Use vectors in two dimensions.
• Use column vectors and carry out arithmetic operations on vectors.
• Calculate the magnitude and direction of a vector.
• Understand and use position vectors.
• Use vectors to solve geometric problems.
• Understand vector magnitude and use vectors in speed and distance calculations.
• Use vectors to solve problems in context.

### Chapter 11 Learning Objectives

• Find the derivative, f'(x) or α΅ΚΈβdx , of a simple function.
• Use the derivative to solve problems involving gradients, tangents and normals.
• Identify increasing and decreasing functions.
• Find the second order derivative, f''(x) or α΅Β²ΚΈβdx2 , of a simple function.
• Find stationary points of functions and determine their nature.
• Sketch the gradient function of a given function.
• Model real-life situations with differentiation.