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tangents and normals

Authored by Katherine Northcott

Mathematics

12th Grade

CCSS covered

Used 113+ times

tangents and normals
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the equation of the horizontal line through (-3, 6)?

x=-3
y=6
x=6
y=-3

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the equation of the vertical line through (8, -4)?

x=8
y=8
x=-4
y=-4

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following means "first derivative"

f'(x)
y'
dy/dx
all of the above

Tags

CCSS.HSF.LE.B.5

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

y+1=2(x+1)
y = 2x - 1
y=2x+2
y = 2x -3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the slope of f(x) = -3x2 – 6x at x = 1.

m = 0

f'(x) = -6x - 6

f'(x) = 6x

m = -12

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the slope of the line tangent to the graph of y=x2 – 2 at the point x = -8.

2

-4

-8

-16

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If f '(x) = 0, what does that mean with respect to the tangent line?

Tangent line is vertical

Tangent line has a positive slope

Tangent line is horizontal

Tangent line has a negative slope

Tags

CCSS.HSF.IF.B.4

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