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Worksheet: Derivatives of Parametric Equations
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 , find .
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Q8:
Given that and , determine .
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Q9:
Find the derivative of with respect to at .
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Q10:
Find at , given and .
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Q11:
A curve has parametric equations and . Find for which the tangent is horizontal.
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Q12:
Given that and , find at .
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Q13:
Find at , given that and .
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Q14:
Given that and , find .
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Q15:
Find the derivative of with respect to at .
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Q16:
By using parametric differentiation, determine the derivative of with respect to .
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Q17:
Given that , and , find the rate of the change of with respect to .
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Q18:
Suppose and . Find when .
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Q19:
If and , find at .
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Q20:
Find the rate of change of with respect to at .
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Q21:
Find the equation of the tangent to the curve and at .
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Q22:
If and , find at .
Q23:
Find the rate of change of with respect to .
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Q24:
Given that and , find .
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Q25:
If and , find .