Introduction to Calculus!

But first………..

“Fathers” of the Calculus

Leibniz Calculator!…….love your TI-84

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

Rates of Change

Rates of Change

Rates of Change

Rates of Change

Rates of Change

Rates of Change

An ever changing world

Sound familiar?!?!?? Slope!

Average rate of changeTotal change in y

Total change in xaver

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

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