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Course: Multivariable calculus > Unit 3

Lesson 1: Tangent planes and local linearization
Math
Multivariable calculus
Applications of multivariable derivatives
Tangent planes and local linearization
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Finding tangent planes

Google Classroom

Problem

Let S be a surface in 3D described by the equation z=sin⁡(xy).
Fill in the rest of the equation of the plane tangent to S at (0,π).
z=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
+π(x−0)+
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
(y−π)