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## Calculate the Differential of the Following Functions: The best Maths tutors available
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1st lesson free!  4.9 (23 reviews)
Intasar
£42
/h
1st lesson free!  5 (17 reviews)
Matthew
£25
/h
1st lesson free!  4.9 (6 reviews)
Dr. Kritaphat
£49
/h
1st lesson free!  4.9 (11 reviews)
Paolo
£25
/h
1st lesson free!  4.9 (9 reviews)
Petar
£27
/h
1st lesson free!  4.9 (11 reviews)
Rajan
£15
/h
1st lesson free!  5 (13 reviews)
Farooq
£35
/h
1st lesson free!  5 (15 reviews)
Myriam
£20
/h

## Exercise 1 ## Exercise 2 ## Exercise 3 ## Exercise 4 ## Exercise 5

A square has a side of 2 m. Determine the increase in area of the square when its sides increase by 1 milimeter. Calculate the error made when using differentials rather than increases.

## Exercise 6

Find the change in the volume of a cube of with edges of 20 centimeters, when each edge increases by 0.2 cm in length..

## Exercise 7

Calculate the absolute and relative error made when calculating the volume of a sphere of 12.51 milimeters in diameter, measured with an instrument that shows thousandths of a centimeter.

## Exercise 8

If is replaced by , what are the approximations of absolute and relative error?

## Solution of exercise 1

Calculate the differential:   ## Solution of exercise 2

Calculate the differential:  ## Solution of exercise 3

Calculate the differential:   ## Solution of exercise 4

Calculate the differential:       ## Solution of exercise 5

A square has a side of 2 m. Determine the increase in area of the square when its sides increase by 1 milimeter. Calculate the error made when using differentials rather than increases.   Error = ## Solution of exercise 6

Find the change in the volume of a cube of with edges of 20 centimeters, when each edge increases by 0.2 cm in length.   ## Solution of exercise 7

Calculate the absolute and relative error made when calculating the volume of a sphere of 12.51 milimeters in diameter, measured with an instrument that shows thousandths of centimeter.      ## Solution of exercise 8

If is replaced by , what are the approximations of absolute and relative error?      Need a Maths teacher?

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.