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6. Application of Derivatives
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Q1 of 168 Page 216

Using differentials, find the approximate value of each of the following up to 3 places of decimal.

Consider y =


Let x = 81 and Δx = 0.5. Then, we get


Δy =


=



⇒ = Δy + 3


Now, dy is approximately equal to Δy and is given by:


dy =





= 0.0046


Therefore, the approximate value of is 3.0046.


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1

Using differentials, find the approximate value of each of the following up to 3 places of decimal.

1

Using differentials, find the approximate value of each of the following up to 3 places of decimal.

1

Using differentials, find the approximate value of each of the following up to 3 places of decimal.

1

Using differentials, find the approximate value of each of the following up to 3 places of decimal.

Questions · 168
6. Application of Derivatives
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