Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
Calculus 120
Chapter 2
2.4 Rates of Change and Tangent Lines A. Read
February 10, 2016
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
We took a quick look at the average rate of change during our first lesson and we will revisit that idea now.
The average rate of change is the amount of change divided by the length of the interval.
These quantities can have a variety of units (or no units at all!)
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
As I grew up, my pinky toes' mass in grams (m) was related to my eye brow length in centimetres (l) by the following equation:
What was my average rate of change between 4 cm and 6 cm eyebrow length? Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
What is the approximate average rate of change between the two points?
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
Revisiting the slope and tangent line to a curve at a point.
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
Sometimes we like to describe the normal to a curve instead the tangent. This is the line that creates a right angle with the curve when it intersects.
The question is done in the same manner, the only difference is remembering that the slope of a normal is related to the slope of the tangent by the negative reciprocal.
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
Find the normal line that intersects the curve
at the point (2,2) Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
I finally realized why the book used
to describe the position of a falling object. This is the formula for feet. In meters, the equation is quite close to
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
a) What is the speed of a falling object during its first 5 seconds?
b) What is the speed of the falling object after having fallen for 5 seonds?
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016
Read through Examples 1­7 and do associated exercises.
Calculus 120 2.4 Rates of Change and Tangent Lines.notebook
February 10, 2016