Question

Градиент функции z=3x²+4y?K(-4;-2)​

Answer 1

$Z=3x^3+4y^2\; \; ,\; \; K(-4;-2)\\\\\\Z'_{x}=9x^2\; \; ,\; \; Z'_{x}(K)=9\cdot (-4)^2=144\\\\Z'_{y}=8y\; \; ;\; \; \; Z'_{y}(K)=8\cdot (-2)=-16\\\\\\grad\, Z(K)=144\vec{i}-16\vec{j}$