Unit 4: Contextual Applications of Differentiation

/ Unit 4: Contextual Applications of Differentiation

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You’ll apply derivatives to set up and solve real-world problems involving instantaneous rates of change and use mathematical reasoning to determine limits of certain indeterminate forms.

Question Difficulty:

Question	Difficulty	Students Solved
Solving a Radical Equation	easy	18
Balloon Volume Rate of Change	medium	20
Properties of the Chain Rule	medium	25
Spherical Balloon Related Rates	medium	17
Finding a Critical Number	medium	10
Related Rates Shadow Problem	medium	9
Properties of L'Hopital's Rule	medium	9
Mean Value Theorem Application	medium	5
Local Linear Approximation of a Square Root	easy	10
Particle Motion and Stationary Points	easy	6
Spherical Balloon Related Rates	easy	5
Tangent Line Approximation	medium	4
Interpretation of the Derivative at a Point	easy	6
Acceleration from a Velocity Function	easy	4
Evaluating a Derivative at a Point	easy	3
Acceleration From Velocity	medium	5
Rate of Change of a Volume Function	medium	3
Particle Motion and Zero Acceleration	easy	3
Position Velocity and Acceleration Relationships	easy	2
Interpreting the Derivative of a Rate Function	easy	3

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Unit Leaderboard

Rank	User	Correct Count	Attempt Count	Time	Score
#1	haneesh19.12	170	215	21m 04s	15,286
#2	dpaak0903	91	130	0m 00s	8,710
#3	gunnartgibby05	44	53	4m 47s	4,023
#4	l.alzahrani04	26	30	0m 00s	2,560
#5	bezginaanfisa	20	22	0m 00s	1,980
#6	adhrooster	17	19	0m 00s	1,680
#7	loofee1236	14	23	0m 00s	1,310
#8	p250001155	11	16	0m 00s	1,050
#9	shriyaans.nathan09	10	10	0m 00s	1,000
#10	sophieyao08	7	9	0m 00s	680

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