Equations of Tangent & Normal Lines

Equations of Tangent & Normal Lines

11th - 12th Grade

11 Qs

quiz-placeholder

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Equations of Tangent & Normal Lines

Equations of Tangent & Normal Lines

Assessment

Quiz

Mathematics

11th - 12th Grade

Medium

CCSS
HSG.GPE.B.5, HSA.CED.A.1, 8.EE.B.5

+5

Standards-aligned

Created by

Kathleen Strunk

Used 333+ times

FREE Resource

11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the slope at x = 3 of the equation f(x) = 3x2

6x

27

18

3x

Tags

CCSS.8.EE.B.5

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the slope of the line normal to the curve y = x2 + x at x = 1?

-1

-1/2

-1/3

-1/4

Tags

CCSS.HSG.GPE.B.5

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the equation of the line tangent to the curve y = x2 at x = 1?

y = 2x + 1

y = 2x - 1

y = -2x + 1

y = x - 1

Tags

CCSS.HSA.REI.C.7

CCSS.HSG.GPE.B.5

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the equation of the tangent line at x = 1  ofof   f(x)= xf\left(x\right)=\ \sqrt{x}  

 y=12x12y=\frac{1}{2}x-\frac{1}{2}  

 y=12x+12y=\frac{1}{2}x+\frac{1}{2}  

 y=2x1y=2x-1  

 y=2xy=2x  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the equation of the line tangent to f(x)= 4x2+2x-1 at x=0?

y+1=2(x+1)

y=2x-1

y=2x+2

y= -x-1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When we "take the derivative" of a function what are we finding?
What's a derivative?
The rate at which our struggles in Calculus are increasing.
The slope of the secant line
The slope of the tangent line

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

a

b

c

d

e

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