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Functions and analysis

Read a curve, follow its variations, differentiate.

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Level 5Ages 15–16
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Introduction to functions

6

↗

Variations and sign of a function

6

↗

Linear functions

6

⅟

The reciprocal function and the hyperbola

6

∩

Solving equations and inequalities graphically

6

Test · Level 5

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Level 6Ages 16–17
x²

The square function and the parabola

6

uₙ

Arithmetic and geometric sequences

6

f'

Introduction to the derivative

6

f′

Derivatives of standard functions (the formulas)

6

↗

Studying a function's variations with its derivative

6

Test · Level 6

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Level 7Ages 17–18
f′

Applications of the derivative

6

eˣ

Exponential and logarithm

6

∞

Limits and continuity

6

eˣ

A complete study of the exponential function

6

∫

Antiderivatives and the integral (first steps)

6

Test · Level 7

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