Question
Find an equation of the tangent plane to the given surface at the specified point.$z=3(x-1)^{2}+2(y+3)^{2}+7, \quad(2,-2,12)$
Step 1
The partial derivative with respect to $x$ is given by: \[f_x = \frac{\partial z}{\partial x} = 6(x-1)\] The partial derivative with respect to $y$ is given by: \[f_y = \frac{\partial z}{\partial y} = 4(y+3)\] Show more…
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