Question

if f is equals to x cube then relative error in f would be how many times the relative error in X​

Answer 1

Three times..

In relative error in f becomes the power of variable times of x..

Answer 2

Given,

$f=x^{3}$

To find,

The relative error in $f$.

Solution,

We already know that

$f=x^{3}$

• The relative error is the ratio of the measurement's absolute error to the actual measurement.
• We can calculate the magnitude of the absolute error in terms of the measurement's true size using this method.
• If the object's true measurement is unknown, the relative error can be calculated using the measured value.
• The relative error indicates how accurate the measurement is in comparison to the size of the object being measured.

The relative error of

$f=\frac{Δf}{f}$

And, the relative error of

$x=\frac{Δx}{x}$

Therefore,

The relative error in $f=3$×[relative error in $x$]

Hence, the relative error in $f$ would be 3 times the relative error in $x$.