# Worksheet: Derivatives of Parametric Equations

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 .

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Q2:

Given that and , find .

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Q3:

Given that and , find .

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Q4:

Given that and , find .

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Q5:

Given that and , find .

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Q6:

Given that and , find .

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Q7:

Given that and , determine .

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Q8:

Given that and , find at .

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Q9:

If and , find .

Q10:

Given that and , find .

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Q11:

Find the derivative of with respect to at .

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Q12:

Find at , given and .

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Q13:

Find at , given that and .

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Q14:

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

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Q15:

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

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Q16:

Find the derivative of with respect to at .

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Q17:

Find the rate of change of with respect to .

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Q18:

Find the rate of change of with respect to at .

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Q19:

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

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Q20:

Suppose and . Find when .

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Q21:

If and , find at .

Q22:

A curve has parametric equations and . Find for which the tangent is horizontal.

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Q23:

Determine at , given that , and .

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Q24:

Find the rate of change of with respect to at .

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Q25:

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

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