Answer Happy

Posted: **Thu Jul 14, 2022 4:41 pm**

: If The Equation F X Y Z 0 Determines Z As A Differentiable Function Of X And Y Th X Z Fz Fx And Y Z Fz Fy Us 1 (225.22 KiB) Viewed 36 times

If the equation F(x,y,z)=0 determines z as a differentiable function of x and y, th ∂x∂z=−FzFx and ∂y∂z=−FzFy Use these equations to find the values of ∂z/∂x and ∂z/∂y at the given point. z3−2xy+4yz+y3−131=0,(1,4,3) ∂x∂z∣∣(1,4,3)=( Type an integer or a simplified fraction.)
Find ∂u∂z and ∂v∂z when u=ln3,v=1, if z=10cot−1x and x=eu+lnv. ∂u∂z∣∣u=ln3,v=1= (Simplify your answer.)

Answer Happy

If the equation F(x,y,z)=0 determines z as a differentiable function of x and y, th ∂x∂z​=−Fz​Fx​​ and ∂y∂z​=−Fz​Fy​​ Us

If the equation F(x,y,z)=0 determines z as a differentiable function of x and y, th ∂x∂z​=−Fz​Fx​​ and ∂y∂z​=−Fz​Fy​​ Us

If the equation F(x,y,z)=0 determines z as a differentiable function of x and y, th ∂x∂z=−FzFx and ∂y∂z=−FzFy Us

If the equation F(x,y,z)=0 determines z as a differentiable function of x and y, th ∂x∂z=−FzFx and ∂y∂z=−FzFy Us