Section 1: Multiple Choice questions

#1 Which of the following definitions matches the term?

Derivative of arctan(x)

1/(1+x^2) 1/(x * sqrt(x^2-1)) Infinity 1

#2 Which of the following terms matches the definition?

1/sqrt(1-x^2)

Derivative of arcsin(x) Derivative of arcsec(x) Integral of 1/(a^2+u^2) Derivative of arctan(x)

#3 Which of the following definitions matches the term?

sin(5x)/2x as x -> 0

1 5/2 DNE 5/2

#4 Which of the following definitions matches the term?

Derivative of arcsin(x)

1/sqrt(1-x^2) a^x ln(a) 1/sqrt(1-x^2) 1

#5 Which of the following terms matches the definition?

5/2

sin(x)/x as x -> 0 Limit of |x|/x as x -> 0 sin(5x)/2x as x -> 0 Limit of |x|/x as x -> 0

Section 2: True/false questions

#6 Determine if the following combination is true or false.

sin(5x)/5x as x -> 0

arcsin(u/a) + C

True

False

#7 Determine if the following combination is true or false.

x/sin(x) as x -> 0

-(cosecx)^2

True

False

#8 Determine if the following combination is true or false.

sin(x)/x as x -> 0

1

True

False

#9 Determine if the following combination is true or false.

sin(5x)/5x as x -> 0

1

True

False

#10 Determine if the following combination is true or false.

x/sin(x) as x -> 0

-cosecxcotx

True

False

Section 1: Multiple Choice questions

Derivative of arctan(x)

1/sqrt(1-x^2)

sin(5x)/2x as x -> 0

Derivative of arcsin(x)

5/2

Section 2: True/false questions

sin(5x)/5x as x -> 0

arcsin(u/a) + C

x/sin(x) as x -> 0

-(cosecx)^2

sin(x)/x as x -> 0

1

sin(5x)/5x as x -> 0

1

x/sin(x) as x -> 0

-cosecxcotx

Triple-checked your answers?

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