Calculus Review - Applications of Derivatives

Calculus Review - Applications of Derivatives

Assessment

Assessment

Created by

Amy McNabb

Mathematics

11th Grade - University

102 plays

Medium

CCSS
HSF.IF.B.4, HSA.APR.B.3, HSA.REI.D.10

+3

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15 questions

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1.

MULTIPLE CHOICE

3 mins • 1 pt

If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle? 

2.

MULTIPLE CHOICE

3 mins • 1 pt

Where does the function, f(x) = 2x3 - 9x2 + 12x -3 have relative max/min values?

3.

MULTIPLE CHOICE

3 mins • 1 pt

Let f be the function with derivative given by f'(x) = x2 - 2/x. On which of the following intervals is f decreasing?

4.

MULTIPLE CHOICE

2 mins • 1 pt

Given a function, f(x), if f'(x)>0 over a certain interval, then f(x) is __________ over that interval.

5.

MULTIPLE CHOICE

2 mins • 1 pt

Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _____________ at x.

6.

MULTIPLE CHOICE

2 mins • 1 pt

The slope of a function is described by its ____________.

7.

MULTIPLE CHOICE

3 mins • 1 pt

What is the maximum value of f(x) = x3 - 3x2 - 1 on the interval [-3, 2]?

Tags

CCSS.HSA.APR.B.3

8.

MULTIPLE CHOICE

2 mins • 1 pt

If a function has a derivative that is negative, what does that tell you?

Tags

CCSS.HSF.IF.B.4

9.

MULTIPLE CHOICE

2 mins • 1 pt

What is a point of inflection?

10.

MULTIPLE CHOICE

2 mins • 1 pt

If a function has a second derivative that is negative, what does that tell you?

Tags

CCSS.HSF.IF.B.4

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