∂f∂x=2xy2−12x2z2+yz.\frac{\partial f}{\partial x}=2xy^2-12x^2z^2+yz.∂x∂f=2xy2−12x2z2+yz.
∂f∂y=2x2y−6y2z2+xz.\frac{\partial f}{\partial y}=2x^2y-6y^2z^2+xz.∂y∂f=2x2y−6y2z2+xz.
∂f∂z=−4y3z−8x3z+xy.\frac{\partial f}{\partial z}=-4y^3z-8x^3z+xy.∂z∂f=−4y3z−8x3z+xy.
At the point (1,-2,-1): ∂f∂x=−6, ∂f∂y=−29, ∂f∂z=−26.\frac{\partial f}{\partial x}=-6, \;\frac{\partial f}{\partial y}=-29,\; \frac{\partial f}{\partial z}=-26.∂x∂f=−6,∂y∂f=−29,∂z∂f=−26.
Gradient: ∇=[−6,−29,−26].\nabla =[-6,-29,-26].∇=[−6,−29,−26].
