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TEST 1 REVIEW
Test 1 will be given on Feb 18 (in class) and will cover Sec 7.17.4, Sec 9.19.3. You CAN take this review sheet
with you in the test.
Chapter 7 Functions of Several Variables
•
Sec 7.1 Examples of Functions of Several Variables:
–
Understand the deﬁnition of function of several variables
–
Be able to draw level curves for basic functions in two variables.
•
Sec 7.2 Partial Derivatives:
–
Understand and be able to calculate partial derivatives of the ﬁrst and second order;
–
Be able to interpret partial derivatives as rates of change in applications and use them
for local approximations.
f
(
a
+
h,b
)

f
(
a,b
)
≈
∂f
∂x
(
a,b
)
·
h,
f
(
a,b
+
k
)

f
(
a,b
)
≈
∂f
∂y
(
a,b
)
·
k,
•
Sec 7.3 Maxima and Minima of Functions of Several Variables:
–
Understand and be able to use First Derivative Test for ﬁnding critical points where
the function has a possible relative maximum or minimum:
If
f
(
x,y
) has either a relative maximum or minimum at (
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This note was uploaded on 02/20/2009 for the course MTH 122 taught by Professor Buettgens during the Spring '08 term at SUNY Buffalo.
 Spring '08
 BUETTGENS

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