Question
Asked Oct 2, 2019
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Let f(x)=x3-7x. Calculate the difference quotient

[f(3+h)-f(3)]/h

for 

h=0.1

h=0.01

h=-0.01

h=-0.1

 

Let f(x)
x3 -7x. Calculate the difference quotient
f(3h)-(3)
h
for
h .1
h .01
h -01
=
h -.1
_
f(3h)-f(3)
lim
h-0
h
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Let f(x) x3 -7x. Calculate the difference quotient f(3h)-(3) h for h .1 h .01 h -01 = h -.1 _ f(3h)-f(3) lim h-0 h

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Expert Answer

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Step 1

when h = 0.1, 

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f(3+h)-(3) (3+0.1)-(3) h 0.1 f(3.1)-f (3) 0.1 [(3.1)'-7(3.1)-[(3)-7(3) 0.1 29.791-21.7-27+21 0.1 20.91

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Step 2

When h = 0.01

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f(3+h)-f(3) f(3+ 0.01)-f(3) 0.01 f(3.01)-f(3) 0.01 [(3.01)-7(3.01)-[(8)-7(3) 0.01 27.270901-21.07-27 21 0.01 =20.0901

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Step 3

When h = - ...

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f(3+h)-f(3) f(3-0.01)-f(3) -0.01 f(2.99)-f(3) -0.01 [(299)-7(299)]-(-7(3)] -0.01 26.730899-20.93-27+ 21 -0.01 =19.9101

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