2.3.29 Gradient and directional derivative

Condition: Calculate the gradient of the function \( z=f(x, y) \) at the point \( \left(x_{0}, y_{0}\right) \) : \[ f(x, y)=\sin \pi x \cos \left(\frac{\pi}{2} y\right),\left(x_{0} ; y_{0}\right)=(1 ; 0) \text {. } \]