The electric potential at a point (x, y, z) is given by V = $-$x2y $-$ xz3 + 4 The electric field at that point is

Question

The electric potential at a point (x, y, z) is given by V = $-$x²y $-$ xz³ + 4

The electric field at that point is

$\overrightarrow E = \widehat i2xy + \widehat j\left( {{x^2} + {y^2}} \right) + \widehat k\left( {3xz - {y^2}} \right)$

$\overrightarrow E = \widehat i{z^3} + \widehat jxyz + \widehat k{z^2}$

$\overrightarrow E = \widehat i\left( {2xy - {z^3}} \right) + \widehat jx{y^2} + \widehat k3{z^2}x$

$\overrightarrow E = \widehat i\left( {2xy + {z^3}} \right) + \widehat j{x^2} + \widehat k3x{z^2}$

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