Definition of Derivatives

Definition of Derivatives

11th - 12th Grade

10 Qs

quiz-placeholder

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Definition of Derivatives

Definition of Derivatives

Assessment

Quiz

Mathematics

11th - 12th Grade

Medium

CCSS
HSF.IF.B.4, HSA.SSE.A.2, 8.F.B.4

+8

Standards-aligned

Created by

Huguette Williams

Used 29+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The derivative of a function is its
Slope
Maximum/Minimum
Instantaneous rate of change
Common Denominator

Tags

CCSS.HSF.IF.B.4

2.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

f'(x)=

limh0(f(x+h)f(x)h)\lim_{h\rightarrow0}\left(\frac{f\left(x+h\right)-f\left(x\right)}{h}\right)

limxc(f(x)f(c)xc)\lim_{x\rightarrow c}\left(\frac{f\left(x\right)-f\left(c\right)}{x-c}\right)

dydx\frac{\text{d}y}{\text{d}x}

an equation for the slope of the tangent line

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 limh0(5(x+h)25x2h)\lim_{h\rightarrow0}\left(\frac{5\left(x+h\right)^2-5x^2}{h}\right)  

 5x25x^2  

 10x10x  

10

DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 limx2(x24x2)\lim_{x\rightarrow2}\left(\frac{x^2-4}{x-2}\right)  

2

4

6

8

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If a function f(x) has a derivative that is negative, what does that tell you?

The function f(x) is increasing

The function f(x) is decreasing

 f(x)<0f\left(x\right)<0  

Nothing other than  f(x)<0f'\left(x\right)<0  

Tags

CCSS.HSF.IF.B.4

6.

OPEN ENDED QUESTION

2 mins • 1 pt

What is the traditional definition of a derivative?

Evaluate responses using AI:

OFF

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 limx1 x2+3x2x1\lim_{x\rightarrow1}\ \frac{\sqrt{x^2+3x}-2}{x-1}  is the instantaneous rate of change of what function at what value of the domain? 

 f(x)=x23x2f\left(x\right)=\sqrt{x^2-3x}-2  at  x=1x=1  

 f(x)=x23xf\left(x\right)=\sqrt{x^2-3x}  at  x=2x=2  

 f(x)=x23xx1f\left(x\right)=\frac{\sqrt{x^2-3x}}{x-1}  at  x=1x=1  

 f(x)=x23xf\left(x\right)=\sqrt{x^2-3x}  at  x=1x=1  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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