How to find the local extrema for f ( x ) = 5 x - x 2 ?

Question

How to find the local extrema for             f              (        x        )              =    5    x    -          x      2      ?

affwysaumlgx · Accepted Answer

1. The quantitative measure of the extent to which an electric field applied to a dielectric material causes polarization is known as electric susceptibility.
2. A dielectric material is a nonmetallic material with a high specific resistance, a negative temperature coefficient of resistance, and a high insulation resistance.
3. When the polarization causes in material the slight displacement of positive and negative charge within the material.
4. The expression for electric susceptibility is

χ e = \frac{P}{ε 0 E}

where P is the polarization,

ε 0

is the permittivity, E is the electric field.
5. The relation between electric susceptibility and dielectric constant

K = 1 + \frac{X}{e}

where

X e

represents electric susceptibility,

ε 0

is the permittivity and K represents dielectric constant.
6. Electric susceptibility is a dimensionless quantity.
7. The greater a material's electric susceptibility, the greater its ability to polarize.
8. Electric susceptibility gives the measure of how easily a dielectric material can be polarized when placed in an electric field.

What is electric susceptibility of dielectric material?

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