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If the equation F(x,y,z)=0 determines z as a differentiable function of x and y, then, at the points where Fz=0, the f
Posted: Thu Jul 14, 2022 4:40 pm
by answerhappygod
- If The Equation F X Y Z 0 Determines Z As A Differentiable Function Of X And Y Then At The Points Where Fz 0 The F 1 (19.75 KiB) Viewed 38 times
If the equation F(x,y,z)=0 determines z as a differentiable function of x and y, then, at the points where Fz=0, the following equations are true. ∂x∂z=−FzFx and ∂y∂z=−FzFy Use these equations to find the values of ∂z/∂x and ∂z/∂y at the given point. 3z3−2xy+4yz+3y3−105=0,(4,3,2) ∂x∂z∣∣(4,3,2)= (Type an integer or a simplified fraction.) ∂y∂z∣∣(4,3,2)= (Type an integer or a simplified fraction.)