Lesson Worksheet: Derivatives of Parametric Equations Mathematics • Higher Education

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In this worksheet, we will practice finding the first derivative of a curve defined by parametric equations and finding the equations of tangents and normals to the curves.

Q1:

Given that , and , find the rate of the change of with respect to .

Q2:

Suppose and . Find when .

Q3:

By using parametric differentiation, determine the derivative of with respect to .

Q4:

Find the equation of the normal to the curve and at .

Q5:

Find the equation of the tangent to the curve and at .

Q6:

Given that and , find .

Q7:

If and , find at .

Q8:

Find the derivative of with respect to at .

Q9:

Find an equation of the tangent to the curve , at the point .

Q10:

Find the value of at which the curve , has a vertical tangent.

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