NSAA NSAA Mathematics - Calculus

Question 1

What is the derivative of f(x) = 5x³ - 2x + 7?

Accepted Answer

15x² - 2

Answer

15x² + 2

Answer

5x² - 2

Answer

15x³ - 2

Question 2

Evaluate the integral ∫(4x³ - 2x) dx

Accepted Answer

x⁴ - x² + C

Answer

12x² - 2 + C

Answer

x⁴ - x + C

Answer

4x⁴ - 2x² + C

Question 3

Find the gradient of y = 3x² - x at x = 2.

Accepted Answer

11

Answer

5

Answer

10

Answer

12

Question 4

A function has a stationary point where:

Accepted Answer

The first derivative equals zero

Answer

The second derivative equals zero

Answer

The function value equals zero

Answer

The function reaches its global maximum

Question 5

What is ∫₀² 3x² dx?

Accepted Answer

8

Answer

4

Answer

6

Answer

12

Question 6

What is the second derivative of f(x) = x⁴ - 3x² + 5?

Accepted Answer

12x² - 6

Answer

4x³ - 6x

Answer

4x - 3

Answer

12x³ - 6x