# Worksheet: Tangents to the Graph of a Function

In this worksheet, we will practice finding the slope and equation of the tangent to a curve at a given point using derivatives.

**Q7: **

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

- ANo
- BYes,
- CYes,
- DYes,

**Q9: **

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

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

**Q11: **

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

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

**Q13: **

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

- A
- B
- C
- D
- E

**Q14: **

Determine the equation of the common tangent to the two curves and .

- A
- B
- C
- D

**Q16: **

Find the equation of the normal to the curve at .

- A
- B
- C
- D

**Q17: **

Find the equations of the two tangents to the curve that are perpendicular to the line .

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

**Q18: **

Find the equation of the normal to the curve at .

- A
- B
- C
- D

**Q19: **

Two tangents to are parallel. Given that one tangent is at , find the equation of the other one.

- A
- B
- C
- D

**Q20: **

Find the equations of the tangents to the curve that are parallel to the straight line .

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

**Q21: **

Find the equation of the normal to the curve at .

- A
- B
- C
- D

**Q22: **

Find the equation of the tangent to the curve at its point of intersection with the curve .

- A
- B
- C
- D

**Q23: **

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

- A
- B
- C
- D
- E

**Q24: **

Find the equation of the tangent to the curve at .

- A
- B
- C
- D
- E

**Q25: **

Find the equation of the tangent to the curve at .

- A
- B
- C
- D