# 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.

**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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**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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