Section 1: Multiple Choice questions

#1 Which of the following definitions matches the term?

Derivative of arctan(x)

cos^2x-sin^2x 2sinxcosx (secx)^2 1/(1+x^2)

#2 Which of the following definitions matches the term?

Derivative of arcsin(x)

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

#3 Which of the following definitions matches the term?

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

5/2 -(cosecx)^2 Infinity 1

#4 Which of the following terms matches the definition?

1/sqrt(1-x^2)

Derivative of arcsin(x) sin(5x)/5x as x -> 0 Limit of |x|/x as x -> 0 Integral of 1/sqrt(a^2 - u^2)

#5 Which of the following definitions matches the term?

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

1 a^x ln(a) 5/2 1/(1+x^2)

Section 2: True/false questions

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

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

1

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

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

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

1

True

False

Section 1: Multiple Choice questions

Derivative of arctan(x)

Derivative of arcsin(x)

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

1/sqrt(1-x^2)

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

Section 2: True/false questions

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

1

x/sin(x) as x -> 0

1

sin(x)/x as x -> 0

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

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

1

x/sin(x) as x -> 0

1

Triple-checked your answers?

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