O Level Additional Mathematics: Calculus (4037)

Course content

65 lessons

14.1-14.4 · Differentiation

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14.5-14.9 · Applications of differentiation

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14.3-14.7, 14.9 · Differentiation of exponential, logarithmic and trigonometric functions

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Derivatives of exponential functions

Derivatives of logarithmic functions

Derivatives of sine and cosine

13m

The derivative of tan x

12m

Products and quotients with exponential, logarithmic and trigonometric functions

13m

Further applications of differentiation: tangents and rates

14m

Further applications of differentiation: stationary points

14m

Exponential, logarithmic and trigonometric derivatives: practice

14m

Exponential, logarithmic and trigonometric derivatives: exam practice

15m

Exponential, logarithmic and trigonometric derivatives: summary

8m

14.10-14.12 · Integration

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14.13 · Definite integration and area

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14.14-14.15 · Kinematics

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14.3-14.7, 14.9 · Differentiation of exponential, logarithmic and trigonometric functionsLesson 6 of 10

Further applications of differentiation: tangents and rates

Find tangents, normals and rates of change for curves that use e, ln and trigonometric functions, giving exact answers.

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