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EXERCISE
1
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1)
Study the stationary
points of the function f(x)=x4-2x3+1
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Find
f'(x) and solve the equation: f'(x)=0
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Find
f''(x) and its value for the solutions of f'(x)=0
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If
f''(x) also has a value of zero for any of the values
obtained then find f'''
The
graph of y=f'(x) is
drawn in the window.
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Change
the value of the "derivative" in the top part of
the window. The graphs of the derivative indicated (2 for f '', 3
for f ''' etc) will then be drawn. |
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The
graph of y=f(x)
will
appear as you change the value of x in the window for you to check
your results.
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EXERCISE
2
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2)
Study the stationary
points of the function f(x)=x4ex
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|
|
-
Find
f'(x) and solve the equation: f'(x)=0
-
Find
f''(x) and its value for the solutions of f'(x)=0
-
If
f''(x) also has a value of zero for any of the values obtained then
find f''' and, if necessary, any successive derivatives.
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Change
the value of the "derivative" to 1,2,3 etc, as
explained above. The graphs of the relavant derivatives will be
drawn for you to solve the exercise graphically. |
| The
graph of y=f(x)
will
appear as you change the value of x in the window for you to check
your results. |
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