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 .
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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 .
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Calculate the derivative .
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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 .
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Calculate the derivative .
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The derivative is equal to . Calculate .
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Use the derivative function to calculate the slope of the tangent to at .
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