Introduction to Electrodynamics · Problem 1.11

Vector Analysis — David J. Griffiths

Physics · gradient

Problem

Find the gradients of the following functions: (a)

f(x, y, z) = x^2 + y^3 + z^4

. (b)

f(x, y, z) = x^2 y^3 z^4

. (c)

f(x, y, z) = e^x \sin(y) \ln(z)