Unit 2: Differentiation: Definition and Fundamental Properties

Showing 20 of 21 questions

Q1
MULTIPLE_CHOICEMedium

If [math], what is [math]?

Q2
MULTIPLE_CHOICEMedium

If [math], what is [math]?

Q3
MULTIPLE_CHOICEMedium

What is [math]?

Q4
MULTIPLE_CHOICEMedium

What is the equation of the tangent line to [math] at [math]?

Q5
MULTIPLE_CHOICEHard

Which of the following statements is true?

Q6
MULTIPLE_CHOICEHard

A particle moves along the [math]-axis so that its position at time [math] is [math]. At what time(s) is the particle at rest?

Q7
GRID_INMedium

If [math], what is [math]?

Q8
GRID_INHard

The line tangent to [math] at [math] has slope [math]. What is [math]?

Q9
GRID_INMedium

Find the slope of the line tangent to [math] at [math].

Q10
GRID_INHard

Let [math]. Find [math].

Q11
MULTIPLE_CHOICEMedium

If [math] and [math], then [math] =

Q12
MULTIPLE_CHOICEMedium

If [math], then [math] at [math] is

Q13
MULTIPLE_CHOICEHard

The derivative of [math] is

Q14
MULTIPLE_CHOICEMedium

If [math], then [math] =

Q15
MULTIPLE_CHOICEHard

Let [math] and [math] be odd functions. If [math], [math], and [math] are nonzero functions defined as follows, which must be odd? I. [math] II. [math] III. [math]

Q16
MULTIPLE_CHOICEMedium

If [math], then [math] =

Q17
MULTIPLE_CHOICEHard

[math] equals

Q18
MULTIPLE_CHOICEMedium

The table gives selected values of a differentiable function [math]. | [math] | 1 | 2 | 3 | 4 | |-----|---|---|---|---| | [math] | 3 | 7 | 8 | 6 | \nWhich is the best approximation for [math]?

Q19
MULTIPLE_CHOICEHard

If [math] where [math] and [math], what is [math]?

Q20
MULTIPLE_CHOICEEasy

A function [math] has the property that [math]. Which of the following must be true?

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