Lesson Worksheet: Slope of a Polar Curve Mathematics • Higher Education
In this worksheet, we will practice finding the derivatives of polar curves and the slope of a polar curve.
Q3:
Consider the polar equation .
Calculate for .
- A
- B
- C
- D
- E
Find the slope of the tangent to when . Give your answer accurate to two decimal places.
Q4:
Consider the polar equation . We can calculate the derivative by dividing the derivative by the derivative .
To calculate the derivative , we first need to introduce the variable by multiplying both sides of the equation by and then substituting. Write this equation in terms of .
- A
- B
- C
- D
- E
Calculate the derivative .
- A
- B
- C
- D
- E
Similarly, to calculate the derivative , we first need to introduce the variable by multiplying both sides of the original equation by and then substituting. Write this equation in terms of .
- A
- B
- C
- D
- E
Calculate the derivative .
- A
- B
- C
- D
- E
The derivative is equal to . Calculate .
- A
- B
- C
- D
- E
Use the derivative function to calculate the slope of the tangent to at .
- A
- B
- C
- D
- E