Section 1: Multiple Choice questions

#1 Which of the following definitions matches the term?

Derivative of arctan(x)

1/sqrt(1-x^2) -(cosecx)^2 1/(1+x^2) DNE

#2 Which of the following definitions matches the term?

Derivative of arcsin(x)

1/sqrt(1-x^2) sinAcosB+cosAsinB 1/(x * sqrt(x^2-1)) 1/sqrt(1-x^2)

#3 Which of the following definitions matches the term?

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

Undefined (secx)^2 1/sqrt(1-x^2) 5/2

#4 Which of the following definitions matches the term?

Derivative of arcsin(x)

1/sqrt(1-x^2) Infinity 1/(xln(a)) 1

#5 Which of the following definitions matches the term?

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

sinAcosB+cosAsinB -cosecxcotx -(cosecx)^2 5/2

Section 2: True/false questions

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

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

cosAcosB+sinAsinB

True

False

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

x/sin(x) as x -> 0

a^x ln(a)

True

False

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

sin(x)/x as x -> 0

DNE

True

False

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

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

5/2

True

False

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

x/sin(x) as x -> 0

cosAcosB+sinAsinB

True

False

Section 1: Multiple Choice questions

Derivative of arctan(x)

Derivative of arcsin(x)

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

Derivative of arcsin(x)

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

Section 2: True/false questions

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

cosAcosB+sinAsinB

x/sin(x) as x -> 0

a^x ln(a)

sin(x)/x as x -> 0

DNE

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

5/2

x/sin(x) as x -> 0

cosAcosB+sinAsinB

Triple-checked your answers?

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