Question

find the curl of the gradient w=x^2 cos 3x j

Answer 1

0

Answer 2

curl(grad(f))=0

Answer 3

but how i can solve it ?

Answer 4

\[ Curl(\overrightarrow{F})= \nabla \times \overrightarrow{F}

= \left| \begin{array}{ccc}
\hat{i} & \hat{j} & \hat{k} \\ \\

\dfrac{\partial}{\partial x} & \dfrac{\partial}{\partial y} & \dfrac{\partial }{\partial z} \\ \\

P & Q & R \end{array}

\right| \]

Answer 5

expand and plugin the partials