introduction to calculus!

17
Introduction to Calculus! But first………..

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Introduction to Calculus!. But first………. “ Fathers” of the Calculus. Leibniz Calculator! …….love your TI-84. Rates of Change. A rate is a comparison between two quantities of different kinds. Km per hour Rpm = revolutions per minute Liters per gallon Often represented as a fraction. - PowerPoint PPT Presentation

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Page 1: Introduction to Calculus!

Introduction to Calculus!

But first………..

Page 2: Introduction to Calculus!

“Fathers” of the Calculus

Page 3: Introduction to Calculus!
Page 4: Introduction to Calculus!

Leibniz Calculator!…….love your TI-84

Page 5: Introduction to Calculus!

A rate is a comparison between two quantities of different kinds.

Km per hour Rpm = revolutions per minute Liters per gallon

Often represented as a fraction

Rates of Change

Page 6: Introduction to Calculus!

Rates of Change

Page 7: Introduction to Calculus!

Rates of Change

Page 8: Introduction to Calculus!

Rates of Change

Page 9: Introduction to Calculus!

Rates of Change

Page 10: Introduction to Calculus!

Rates of Change

Page 11: Introduction to Calculus!

Rates of Change

Page 12: Introduction to Calculus!

An ever changing world

Page 13: Introduction to Calculus!

Sound familiar?!?!?? Slope!

Average rate of changeTotal change in yTotal change in xaver

Page 14: Introduction to Calculus!

Find speed of hair from A to B, B to C and C to D. Find speed of tortoise (average speed)

Page 15: Introduction to Calculus!

New tires have a tread depth of 8mm. After driving for 32 178 km the tread depth was reduced to 2.3mm. What was the wearing rate of the tires in

a. Mm per km traveled? b. cm per 10 000 km traveled?

Example

Page 16: Introduction to Calculus!
Page 17: Introduction to Calculus!