Derivatives On The Calculator Worksheet - Calculus Maximus
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1Calculus Maximus
Notes: 2.2 Derivs on Calculator
§2.2—Derivatives on the Calculator
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d
f c
nDeriv
f x x c
, ,
f c
f x
x c
dx
d
Graph:
Y
nDeriv
f x x x
, ,
1
Graph:
Y
f x
1
x x
dx
Example 1:
Evaluate each of the following on your calculator.
2
dy
3
x
1
f
y
1/ 3
(a)
4
if
f x
ln
x
(b)
if
y
(c)
0
, if
y
x
dx
2
x
5
x
2
(d) Which of the preceding values are correct and which are not correct? Why would your calculator give
incorrect answers?
Example 2:
Use your calculator to sketch the graph of the derivative of the following functions. Use the calculator’s
graph to identify the equation of the derivative function.
x x
y
4
(a)
f x
cos
x
(b)
y
.25
x
(c)
2
Sometimes when we have a particularly “ugly” function and we are interested in finding information about
its derivative, we can use the calculator’s number crunching ability to an even greater degree.
Example 3:
2
sin
x x
1
f
x .
If
f x
, find
1
, the second-derivative of
f x at
1
x
e
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