Question

If P = x^n , then the relative error in P is ??

(Check the pinned material)
Units and measurements.

I need solution with steps. ​

Answer 1

Answer:

Option B

Explanation:

P=$x^{n}$

Differentiating both side with respect to $x$ :-

$\frac{dP}{dx} =\frac{nx^{n} }{x}$

$dP=(\frac{nx^{n}}{x} )dx$

Dividing both sides by P;

$\frac{dP}{P}=(\frac{dx}{P} ) (\frac{nx^{n}}{x} )$  

$\frac{dP}{P}=(\frac{dx}{x^{n}} ) (\frac{nx^{n}}{x} )$

On simplifying, we get:-

$\frac{dP}{P}=n(\frac{dx}{x} )$

Which corresponds to option B

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Answer 2

Answer is option B

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