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Broad Topics > Sequences, Functions and Graphs > Exponential function

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Integral Equation

Stage: 5 Challenge Level: Challenge Level:1

Solve this integral equation.

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Exponential Trend

Stage: 5 Challenge Level: Challenge Level:1

Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.

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Hyperbolic Thinking

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Explore the properties of these two fascinating functions using trigonometry as a guide.

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What Are Complex Numbers?

Stage: 5

This article introduces complex numbers, brings together into one bigger 'picture' some closely related elementary ideas like vectors and the exponential and trigonometric functions and. . . .


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