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Revision Quiz MATH1030D

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

what is the method that we use to differentiate using limit?

a)

Changing base method

b)

First principle method

c)

Product rule

d)

Quotient rule

2.
Derivative means the same thing as
a)
slope of the tangent line
b)
slope of the normal line
c)
exponent
d)
potato
3.
Find the derivative of the given equation
f(x) = x3 + x2 + 3
a)
3x2 + 2x
b)
3x + 2x 
c)
3x + 2x + 3
d)
x3 + x2 
4.

What rule should be used in deriving h(x) = 2(x - 4)3

a)

Power rule

b)

Product rule

c)

Quotient rule

d)

Chain rule

5.

Which of the following is the indefinite integral of  x32+7\frac{x^3}{2}+7  ?

a)

 3x22\frac{3x^2}{2}  

b)

 3x22+7x+c\frac{3x^2}{2}+7x+c  

c)

 x48+7x+c\frac{x^4}{8}+7x+c  

d)

 x48+c\frac{x^4}{8}+c  

6.

 ∫ 1x+ 1x2 dx\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx  

a)

 x−1 + x−2+ cx^{-1}\ +\ x^{-2}+\ c  

b)

 x0 − x−1+ cx^0\ -\ x^{-1}+\ c  

c)

 ln⁡x+ x−1+ c\ln x+\ x^{-1}+\ c  

d)

 ln⁡x− x−1+ c\ln x-\ x^{-1}+\ c  

7.

 ∫−2−112xdx\int_{-2}^{-1}\frac{1}{2x}dx  

a)

 −ln⁡22-\frac{\ln2}{2}  

b)

 ln⁡22\frac{\ln2}{2}  

c)

 −ln⁡2-\ln2  

d)

 ln⁡2\ln2  

8.

 ∫(e4x−2x3)dx\int_{ }^{ }\left(\frac{e^{4x^{-2}}}{x^3}\right)dx  

a)

 −18e4x−2+C\frac{-1}{8}e^{4x^{-2}}+C  

b)

 18e4x−2+C\frac{1}{8}e^{4x^{-2}}+C  

c)

 −8e4x−2+C-8e^{4x^{-2}}+C  

d)

none of the above

9.

What is the acronym that we use to choose term u in using integration by parts & tabular integration

a)

LATE

b)

POWER

c)

NICE

d)

ALWAYS

10.

What is the method that used to solve the problem of partial fraction with quadratic function?

a)

substitution

b)

comparison

c)

elimination