Worksheet: Gradient in Cylindrical and Spherical Coordinates

In this worksheet, we will practice finding the gradient of a multivariable function in cylindrical and spherical coordinates.


For 𝑓(𝑥,𝑦,𝑧)=𝑧𝑥+𝑦 in Cartesian coordinates, find 𝑓 in cylindrical coordinates.

  • A 2 𝑧 𝑟 𝑒 + 1 𝑟 𝑒
  • B 2 𝑧 𝑟 𝑒 + 𝑧 𝑟 𝑒
  • C 2 𝑧 𝑟 𝑒 + 1 𝑟 𝑒
  • D 2 𝑧 𝑟 𝑒 + 𝑧 𝑟 𝑒
  • E 2 𝑧 𝑟 𝑒 𝑧 𝑟 𝑒

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