**Q1: **

Find , given that .

- A
- B
- C
- D

**Q2: **

Find the first derivative of with respect to .

- A
- B
- C
- D
- E

**Q3: **

Differentiate .

- A
- B
- C
- D
- E

**Q4: **

Differentiate the function .

- A
- B
- C
- D
- E

**Q5: **

Find the first derivative of the function .

- A
- B
- C
- D

**Q6: **

Find the third derivative of the function .

- A
- B
- C
- D

**Q7: **

Given that the function , and , find the value of .

- A
- B
- C
- D2

**Q8: **

Given that , determine .

- A
- B
- C
- D

**Q9: **

If , and , find .

- A
- B
- C
- D

**Q10: **

Find the first and second derivatives of the function .

- A,
- B,
- C,
- D,
- E,

**Q11: **

List the equations of all the tangents to that also lie on the point .

- A,
- B,
- C,
- D,

**Q12: **

Find the point on the curve at which the tangent to the curve is parallel to the -axis.

- A
- B
- C
- D

**Q13: **

Find the point that lies on the curve , at which the tangent to the curve is perpendicular to the straight line .

- A
- B
- C
- D

**Q14: **

If the line is tangent to the graph of the function at , what is ?

**Q15: **

Find the positive angle that the tangent to at makes with the positive -axis, giving your answer to the nearest second.

- A
- B
- C
- D

**Q16: **

The curves and have a common tangent at . Find , , and .

- A, ,
- B, ,
- C, ,
- D, ,

**Q17: **

Find the equation of the tangent to the curve at the point .

- A
- B
- C
- D