Question
Asked Nov 7, 2019

For the function

f(x)= 1/8x 

construct and simplify the difference quotient

f(x+h)−f(x)/h.
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Expert Answer

Step 1

By the use of difference quotient formula, m is calculated at a given point which is the slope of the curve.

f(x+h)-f(x)
(x+h)x
f(x +h)-f(x)
h
help_outline

Image Transcriptionclose

f(x+h)-f(x) (x+h)x f(x +h)-f(x) h

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Step 2

As per the question, we need to construct the difference quotient for f(x). Therefore, construct the difference quotient for f(x) at any point x.

Step 3

Now we need to get the value of f(x+...

1
f(x)
8.x
1
f(x+h)=
8(x+h)
1
f(x)=
8.r
help_outline

Image Transcriptionclose

1 f(x) 8.x 1 f(x+h)= 8(x+h) 1 f(x)= 8.r

fullscreen

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