**Q1: **

Find the equation of the tangent to the curve at .

- A
- B
- C
- D

**Q2: **

Find the equation of the tangent to the curve at .

- A
- B
- C
- D

**Q3: **

Find the equation of the tangent to the curve at .

- A
- B
- C
- D

**Q4: **

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

**Q5: **

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

**Q6: **

What is the -coordinate of the point where the tangent line to is parallel to the -axis?

- A
- B6
- C0
- D

**Q7: **

What is the -coordinate of the point where the tangent line to is parallel to the -axis?

- A
- B
- C0
- D

**Q8: **

The point lies on the curve . If the gradient of the tangent there is , what are the values of constants and ?

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

**Q9: **

The point lies on the curve . If the gradient of the tangent there is , what are the values of constants and ?

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

**Q10: **

Find the equation of the tangent to the curve that makes an angle of with the positive -axis.

- A
- B
- C
- D

**Q11: **

Suppose the line touches the curve . What is ?

**Q12: **

If the curve is tangent to the line at , find the constants and .

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

**Q13: **

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

- A
- B
- C
- D

**Q14: **

The line touches the curve at . Find and .

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

**Q15: **

Do the curves and meet at a common tangent? If so, give the equation of this tangent.

- Ayes,
- Byes,
- Cno
- Dyes,

**Q16: **

Determine the equation of the line tangent to the curve at point .

- A
- B
- C
- D
- E

**Q17: **

The line is tangent to the curve at the point . Find , , and .

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

**Q18: **

The line is tangent to the graph of function at the point . What is ?

**Q19: **

The line touches the curve at the point . Find and .

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

**Q20: **

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

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

**Q21: **

Find the gradient of the tangent to the curve when , approximated to the nearest hundredth, if needed.

- A
- B
- C18.94
- D

**Q22: **

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

- A
- B
- C
- D

**Q23: **

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

- A
- B
- C
- D

**Q24: **

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

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

**Q25: **

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

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