Section 1: Multiple Choice questions

#1 Which of the following definitions matches the term?

Derivative of arctan(x)

Infinity (1/ln(a)) * a^x + C DNE 1/(1+x^2)

#2 Which of the following definitions matches the term?

Derivative of arcsin(x)

-cosecxcotx 5/2 1/(1+x^2) 1/sqrt(1-x^2)

#3 Which of the following terms matches the definition?

5/2

Derivative of secx sin(2x) sin(A-B)= sin(5x)/2x as x -> 0

#4 Which of the following definitions matches the term?

Derivative of arcsin(x)

secxtanx (1/ln(a)) * a^x + C Infinity 1/sqrt(1-x^2)

#5 Which of the following terms matches the definition?

5/2

sin(5x)/2x as x -> 0 cos(2x) Derivative of cosecx Derivative of arcsin(x)

Section 2: True/false questions

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

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

5/2

True

False

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

x/sin(x) as x -> 0

1

True

False

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

sin(x)/x as x -> 0

arcsin(u/a) + C

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

a^x ln(a)

True

False

Section 1: Multiple Choice questions

Derivative of arctan(x)

Derivative of arcsin(x)

5/2

Derivative of arcsin(x)

5/2

Section 2: True/false questions

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

5/2

x/sin(x) as x -> 0

1

sin(x)/x as x -> 0

arcsin(u/a) + C

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

1

x/sin(x) as x -> 0

a^x ln(a)

Triple-checked your answers?

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