10. Find the equation of the tangent plane to the surface $5xy^2 + 7yz^3 + 2x^2z - 98 = 0$ at the point $(2, -1, 4)$.
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The gradient of $F$ is given by: $\nabla F = \left(\frac{\partial F}{\partial x}, \frac{\partial F}{\partial y}, \frac{\partial F}{\partial z}\right) = (5y^2 + 4xz, 10xy + 7z^3, 21yz^2 + 2x^2)$ Show more…
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