**Q1: **

Let Suppose that the tangent to the graph of at makes an angle with the positive -axis of tangent . Find and .

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

**Q2: **

Find the points on the curve at which the tangents are parallel to the line .

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

**Q3: **

Let be the tangent to the curve at the point . Determine the gradient of and the angle it makes with the positive -axis, giving your answer to the nearest minute.

- AThe gradient of is 8, and the angle it makes with the positive -axis is .
- BThe gradient of is 4, and the angle it makes with the positive -axis is .
- CThe gradient of is 2, and the angle it makes with the positive -axis is .
- DThe gradient of is 8, and the angle it makes with the positive -axis is .
- EThe gradient of is 16, and the angle it makes with the positive -axis is .

**Q4: **

Find the points on the curve where the tangent has gradient 4.

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

**Q5: **

Determine the gradient of the tangent to the curve of the function when .

- A5
- B
- C
- D

**Q6: **

Find the points on the curve where the gradient of the tangent line is .

- A
- B
- C
- D

**Q7: **

Let be the tangent to the curve at the point . Determine the gradient of and the angle it makes with the positive -axis, giving your answer to the nearest minute.

- AThe gradient of is 3, and the angle it makes with the positive -axis is .
- BThe gradient of is 21, and the angle it makes with the positive -axis is .
- CThe gradient of is 7, and the angle it makes with the positive -axis is .
- DThe gradient of is 21, and the angle it makes with the positive -axis is .

**Q8: **

Find the points on where the tangent is parallel to the line that passes through and .

- A and
- B and
- C and
- D and

**Q9: **

Find the points on the curve where the tangent is parallel to the line .

- A
- B
- C
- D
- E

**Q10: **

Find the gradient of the tangent to at the point where .

- A
- B81
- C26
- D86

**Q11: **

Find the gradient of the tangent to at the point where .

- A95
- B
- C
- D

**Q12: **

Find the gradient of the tangent to at the point where .

- A10
- B
- C
- D

**Q13: **

At which points are tangents to the curve parallel to the -axis?

- A and
- B
- C
- D and

**Q14: **

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

**Q15: **

Find the points on the curve where the tangent is perpendicular to the line .

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

**Q16: **

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

- A
- B
- C
- D18

**Q17: **

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

- A
- B
- C17
- D5

**Q18: **

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

- A
- B
- C11
- D20

**Q19: **

Find the gradient of the tangent to the curve at .

- A12
- B8
- C7
- D16

**Q20: **

Find the gradient of the tangent to the curve at .

- A23
- B7
- C3
- D39

**Q21: **

Find the gradient of the tangent to the curve at .

- A63
- B31
- C11
- D95

**Q22: **

Find the gradient of the tangent to the curve at .

- A12
- B3
- C
- D21

**Q23: **

Differentiate , and find the gradient of the tangent to its graph at .

- A , gradient of the tangent to the graph
- B , gradient of the tangent to the graph
- C , gradient of the tangent to the graph
- D , gradient of the tangent to the graph

**Q24: **

Differentiate , and find the gradient of the tangent to its graph at .

- A , gradient of the tangent to the graph
- B , gradient of the tangent to the graph
- C , gradient of the tangent to the graph
- D , gradient of the tangent to the graph

**Q25: **

Differentiate , and find the gradient of the tangent to its graph at .

- A , gradient of the tangent to the graph
- B , gradient of the tangent to the graph
- C , gradient of the tangent to the graph
- D , gradient of the tangent to the graph