In this worksheet, we will practice determining the derivatives of vector-valued functions in one variable by taking the derivative of each component.

**Q1: **

Calculate , and find the vector form of the equation of the tangent line at for .

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

**Q2: **

Calculate , and find the vector form of the equation of the tangent line at for .

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

**Q3: **

Calculate , and find the vector form of the equation of the tangent line at for .

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

**Q4: **

Consider the curve . Determine and find the tangent to the curve when .

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

**Q5: **

Given that , where and are constants, find .

- A
- B
- C
- D
- E