Tangent Planes Let be a differentiable function and consider the surface Show that the

Chapter 13, Problem 64

(choose chapter or problem)

Let f be a differentiable function and consider the surface

\(z=x f\left(\frac{y}{x}\right)\) .

Show that the tangent plane at any point \(P\left(x_{0}, y_{0}, z_{0}\right)\) on the surface passes through the origin.

Text Transcription:

z = xf (y / x)

P (x_0, y_0, z_0)

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