Math, asked by chandranshekhar9744, 9 months ago

(0.73)^1/3 using differentials

Answers

Answered by samyakmanoria85
0

Explanation:

This can be solved with the formula of Taylor:

f

(

a

+

x

)

=

f

(

a

)

+

x

f

'

(

a

)

+

(

x

2

2

)

f

'

'

(

a

)

...

.

If

f

(

a

)

=

a

1

3

We will have:

f

'

(

a

)

=

(

1

3

)

a

2

3

now if

a

=

0.008

then

f

(

a

)

=

0.2

and

f

'

(

a

)

=

(

1

3

)

0.008

2

3

=

25

3

So if

x

=

0.001

then

f

(

0.009

)

=

f

(

0.008

+

0.001

)

f

(

0.008

)

+

0.001

×

f

'

(

0.008

)

=

=

0.2

+

0.001

25

3

=

0.2083

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