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LO's

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Chapter 12 - Differentiation

f(π‘₯+a)

b2-4ac

y dπ‘₯

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dx

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f(π‘₯+a)

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Related

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LO's

y dπ‘₯

Logs

dx

dy

Chapter 12 - Differentiation

f(π‘₯+a)

b2-4ac

y dπ‘₯

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dx

dy

Rules

Rules

f(π‘₯+a)

b2-4ac

12.1 - Gradients of curves

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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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12.4 - Differentiating quadratics

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12.4 - Differentiating quadratics

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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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12.10 - Sketching gradient functions

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12.10 - Sketching gradient functions

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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΅ˆΚΈβ„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΅ˆΒ²ΚΈβ„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.