MAT 285 Midterm: MAT285-2007Spring
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MAT285-
Final
Exam
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100
INSTRUCTIONS:
1. PLEASE CIRCLE
YOUR
INSTRUCTOR: Jinjia Li : Moises Venouziou : Nihat Gogus
2. YOU MUST SHOW ALL OF
YOUR
WORK
ON
THE
EXAM PAGES.
UNSUPPORrED
WORK
WILL NOT RECEIVE ANY CREDIT.
3. GOOD LUCK!
1. (5pts) Find
the
domain of the function
f(x)
=
J9
-x2.
d I' x
2 +X -6
2. (5
III
1m .pts) F·
x->2 X -2
3, (5pts) Compute
the
FIRST derivative and the SECOND derivative with respect to
x of
f(x)
= x3 +8.
-1-
4. (5pts)
Compute
the
derivative with respect to x of
f(x)
= x2 sin(3x).
5. (5pts)
Compute
the
derivative with respect to x of
f(x)
=
eX
.
2x
6. (5pts)
Compute
the
derivative with respect to x of
f(x)
=
In(';x
+ e).
-2-
8
MAT 285 Full Course Notes
Verified Note
8 documents
Document Summary
Instructions: please circle your instructor: jinjia li : moises venouziou : nihat gogus, you must show all of your work on the exam pages. Will not receive any credit: good luck, (5pts) find the domain of the function f(x) = j9 - x 2, (5 pts) f d i" x. 3, (5pts) compute the first derivative and the second derivative with respect to x of f(x) = x 3 + 8. 1(cid:173: (5pts) compute the derivative with respect to x of f(x) = x 2 sin(3x), (5pts) compute the derivative with respect to x of f(x) = ex . 2x: (5pts) compute the derivative with respect to x of f(x) = in(";x + e). 2(cid:173) a: (6pts) compute by (x 2 + tan(xy), (7pts) use implicit differentiation to compute dy/dx if x and y satisfy the equation. 9. (7pts) find the equation of the tangent line to the curve y = 2x.
