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Calculate - Multivariable - Exam, Exams of Calculus

Amity University - BiharCalculus

main points of this exam paper are: Calculate, Derivatives, Functions, Point, Parametrized Curve, Slope, Instantaneous Speed, Particle Traveling, Curve, Local Linearization

Typology: Exams

2012/2013

Uploaded on 03/21/2013

aboil
aboil 🇮🇳

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NAME_______________________________________
I______II______III______IV______V______VI______VII______ TOTAL ___________
October 24 Mathematics 105d Mr. Haines
2003 Calculus I
Exam #2
I. (21) Calculate the derivatives of the following functions:
A) x
xe
B) x
x
5
2
C) 2553)2( +u
pf3
pf4
pf5

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NAME_______________________________________

I______II______III______IV______V______VI______VII______ TOTAL ___________

October 24 Mathematics 105d Mr. Haines

2003 Calculus I

Exam #

I. (21) Calculate the derivatives of the following functions:

A)

x xe

B)

x

x

2

C)

3 255 ( u + 2 )

II. (21) Calculate the derivatives of the following functions:

A) cos( 1 )

4 x +

B)

t e

sin

C) ln( + 1 )

x e

V. (11) Find the local linearization of f x = x + x

2 ( ) near x = 1.

VI. (10) Calculate the limits if they exist:

A)

lim 0 −

→ x

x

x

B)

x

x

x sin

lim → 0

VII. (15) Suppose

3

4

( ) x

x f x = −.

A) Find the critical points of f.

B) Determine whether these critical points are local maxima, local minima, or neither for

f. Give reasons for your answers.