NSAA NSAA Mathematics - Calculus 2

Question 1

If dy/dx > 0 for all x in an interval, the function is:

Accepted Answer

Increasing

Answer

Decreasing

Answer

Constant

Answer

Concave

Question 2

The chain rule states that if y = f(g(x)), then dy/dx =

Accepted Answer

f'(g(x)) · g'(x)

Answer

f'(x) · g'(x)

Answer

f(g'(x))

Answer

f'(g(x)) + g'(x)

Question 3

Find the area under y = x² between x = 0 and x = 3.

Accepted Answer

9

Answer

3

Answer

6

Answer

27

Question 4

What is the derivative of e^(3x)?

Accepted Answer

3e^(3x)

Answer

e^(3x)

Answer

3xe^(3x)

Answer

e^(3x)/3

Question 5

At a maximum point, the second derivative f''(x) is:

Accepted Answer

Negative

Answer

Positive

Answer

Zero

Answer

Undefined

Question 6

What is the derivative of ln(x)?

Accepted Answer

1/x

Answer

1/x²

Answer

e^x

Answer

x·ln(x)