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Tangent of curves

Authored by Steve warner

Mathematics

12th Grade

14 Questions

CCSS covered

Used 14+ times

Tangent of curves
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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

15x2

(5/4)x4

indeterminate

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 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

3.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

The slope of the tangent of f(x) is

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)

f(x+h)-f(x)

not possible, You need 2 points to find slope

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a function has a slope of the tangent that is negative, what does that tell you?

The function is increasing

The function is decreasing

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

The given graph is that of the general slope of the tangent, which could be f?

A

B

C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the slope of the tangent line at x=2 for the function f(x) = 3x2 - 5.

10

11

12

13

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the general slope of the tangent equation of y=3x2-4x+2

6x-6

6x-2

4-6x

6x-4

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