anonymous
  • anonymous
I need to find the tangent plane at (-1,2,4), and I have a function z = 4x^2-y^2+2y.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Suppose f has a continuous partial derivatives. An equation of the tangent plane to the surface \[z=f(x,y)\] at the point \[P(x_0,y_0,z_0)\]is \[z−z_0=f_x(x_0,y_0)(x−x_0)+f_y(x_0,y_0)(y−y_0)\]
anonymous
  • anonymous
Ohh right, So I find the partial derivatives first, and insert.
anonymous
  • anonymous
is it correct that i've gotten f_x(x_0,y_0) = 8x and f_y(x_0,y_0) = -2y+2 ??

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anonymous
  • anonymous
Yeap, :)

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