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derivatives and point slope

Authored by Jorge Briones

Mathematics

12th Grade

CCSS covered

Used 7+ times

derivatives and point slope
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21 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the derivative of the given equation
f(x) = 7

7
0
7x
14

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

At which point(s) will the slopes of the tangent line be zero?

at C only

at points A, C and E only

at point B and D only

at points A and E only

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

3.

MULTIPLE CHOICE QUESTION

5 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

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

-1

2

3

1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation of the tangent  line of:  f(x)=2x21f\left(x\right)=2x^2-1  at x = 1

 y=15x+45y=-\frac{1}{5}x+\frac{4}{5}  

 y=5x6y=5x-6  

 y1=5(x1)y-1=5\left(x-1\right)  

 y1=4(x1)y-1=4\left(x-1\right)  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the equation of the tangent line at the point (-1,1) of: f(x) = x4f\left(x\right)\ =\ x^4  

 y=14x3y=-\frac{1}{4}x-3  

 y=4x3y=-4x-3  

 y=14x+3y=\frac{1}{4}x+3  

 y=4x+3y=4x+3  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Find the slope of the line.

-5/4
5/4
-4/5
4/5

Tags

CCSS.8.EE.B.5

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