Cambridge IGCSE Additional Mathematics
14Calculus
In this topic
- 14.1-14.2 The derived function and its notation
- 14.3 Derivatives of standard functions and the chain rule
- 14.4 Products and quotients
- 14.5 Gradients, tangents and normals
- 14.6, 14.9 Stationary points and their nature
- 14.7 Connected rates of change, small increments and approximations
- 14.8 Practical maximum and minimum problems
- 14.10-14.11 Integration as the reverse of differentiation
- 14.12 Integrating standard functions
- 14.13 Definite integrals and plane areas
- 14.14-14.15 Kinematics
Lessons
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Gradients of curves and the derived function
40 min
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Derivatives of trigonometric, exponential and logarithmic functions
45 min
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Differentiating powers of x
40 min
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The chain rule for composite functions
40 min
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The product and quotient rules
45 min
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Tangents and normals to curves
45 min
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Stationary points: maxima and minima
45 min
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Rates of change and connected rates of change
45 min
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Small increments and approximations
40 min
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Practical maximum and minimum problems
50 min
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Integration as the reverse of differentiation
40 min
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Integrating exponential, trigonometric and linear-composite functions
45 min
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Definite integrals and plane areas
50 min
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Kinematics with calculus
50 min
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Sample question
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