EmSAT EmSAT Mathematics 2

Question 1

What is the derivative of f(x) = x³ + 4x?

Accepted Answer

3x² + 4

Answer

3x + 4

Answer

x² + 4

Answer

3x² − 4

Question 2

What is ∫2x dx?

Accepted Answer

x² + C

Answer

2

Answer

2x² + C

Answer

x + C

Question 3

Find the limit: lim(x→2) (x² − 4)/(x − 2)

Accepted Answer

4

Answer

0

Answer

2

Answer

Undefined

Question 4

What is the area under f(x) = x² from x = 0 to x = 3?

Accepted Answer

9

Answer

27

Answer

3

Answer

6

Question 5

If g(x) = sin(x), what is g'(x)?

Accepted Answer

cos(x)

Answer

−sin(x)

Answer

−cos(x)

Answer

tan(x)

Question 6

At what point does f(x) = x² − 4x + 4 have a minimum?

Accepted Answer

x = 2

Answer

x = 0

Answer

x = 4

Answer

x = −2