Relationship between electric potential and electric field:

$\overline{){\mathbf{E}}{\mathbf{=}}\frac{\mathbf{\u2206}\mathbf{V}}{\mathbf{\u2206}\mathbf{x}}}$

Power rule of derivation:

$\overline{)\frac{\mathit{d}}{\mathit{d}\mathit{t}}\mathbf{\left(}{\mathit{x}}^{\mathit{n}}\mathbf{\right)}{\mathbf{=}}{\mathit{n}}{{\mathit{x}}}^{\mathit{n}\mathbf{-}\mathbf{1}}}$

**(a)**

At x = 0m,

Part A. The electric potential along the *x*-axis is V =200x^{2} V, where x is in meters. What is E_{x} at x =0 m? Express your answer as an integer and include the appropriate units.

Part B. What is E_{x} at x =3 m? Express your answer to three significant figures and include the appropriate units.

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