# NYU Math Worksheet

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Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y)
= 2 – 2x + 4y – x2 – 4y2
) =
(smaller x value)
(larger x value)
maximum
f(
f
minimum
fc
f(
(
(
=
) =
) =
(smaller x value)
(larger x value)
I
) (smallest x value)
) (largest x value)
1
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2.
-/16 POINTS
SESSCALCET1 11.7.004.
MY NOTES
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
=
1
=
f(x, y) = x3y + 36×2 – 8y
maximum
f(
)
(smaller x value)
f(
(larger x value)
minimum
f
)
(smaller x value)
f(
)
(larger x value)
(
) (smallest x value)
(
) (largest x value)
II
1
1
Need Help?
Talk to a Tutor
Help?
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3
.
-/16 POINTS
SESSCALCET1 11.7.005.
MY NOTES
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = x4 + y4 – 4xy + 2
)
=
(smaller x value)
(larger x value)
=
maximum
f(
f(
minimum
f(
f(
(
(
) =
)
(smaller x value)
(larger x value)
=
1
1
) (smallest x value)
) (largest x value)
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = 7e4y – x2 – y2
maximum
fo
) =
(smaller x value)
fl
.
) =
(larger x value)
minimum
f(
)
=
(smaller x value)
fl
)
(larger x value)
(
(
1
) (smallest x value)
) (largest x value)
Need Help?
Talk to a Tutor
Practice Another Version
-/16 POINTS
SESSCALCET1 11.7.007.
MY NOTES
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = (4 + xy)(x + y)
) =
= =
(smaller x value)
(larger x value)
maximum
fo
f
minimum
f(
f
(
(
) =
(smaller x value)
(larger x value)
) (smallest x value)
) (largest x value)
Need Help?
Watch It
Talk to a Tutor
-/16 POINTS
SESSCALCET1 11.7.008.
MY NOTES
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = 2×3 + xy2 + 5×2 + y2 + 1
maximum
1
) =
) =
(smaller x value)
(larger x value)
=
=
1
fc
f
minimum
f(
f
(
(
)
) =
(smaller x value)
(larger x value)
1
) (smallest x value, smallest y value)
) (largest x value, largest y value)
Need Help?
Talk to a Tutor
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = 7(x2 + y2)ex2 – x?
) =
) =
(smaller x value)
(larger x value)
maximum
f
f
minimum
f
f
(
(
) =
) =
(smaller x value)
(larger x value)
(smallest x value)
) (largest x value)
Need Help?
Watch It
Talk to a Tutor

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math

values

graphing

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