1. AP Calculus Warm up 9.3.14
What is the derivative of a function?
The derivative of a function is also a
function which gives us the instantaneous
rate of change (or slope) of the curve at
any given point.
2. And now itβs time for..
The Lame Joke of the day..
What did the turkey say to the computer?
Google, Google, Google.
3. AP Calculus Warm up 9.3.14
What is the derivative of a function?
The derivative of a function is also a
function which gives us the instantaneous
rate of change (or slope) of the curve at
any given point.
8. Rates of change
Average rate of change
slope of secant line
Use slope formula
Instantaneous rate of
change
slope of Tangent line
Use derivative
9. A beaker is being heated continuously over time (t) and is modeled by the
twice differentiable function C (t). The table above gives selected values of
the temperature in degrees Celsius. Estimate the instantaneous rate of
change of the temperature at 14 minutes. Indicate units of measure.
Time (t)
minutes
0 2 9 20 35
Temperature
C (t) in
degrees
Celsius
60 63 89 102 110