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.

  • A2𝑧𝑟𝑒+1𝑟𝑒
  • B2𝑧𝑟𝑒+𝑧𝑟𝑒
  • C2𝑧𝑟𝑒+1𝑟𝑒
  • D2𝑧𝑟𝑒+𝑧𝑟𝑒
  • E2𝑧𝑟𝑒𝑧𝑟𝑒

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