Question

difference between directional and partial derivatives​

Answer 1

Answer:

For a function z=f(x,y), the partial derivative with respect to x gives the rate of change of f in the x direction and the partial derivative with respect to y gives the rate of change of f in the y direction. ... Hence, the directional derivative is the dot product of the gradient and the vector u.

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Answer 2

Answer:

For a function z=f(x,y), the partial derivative with respect to x gives the rate of change of f in the x direction and the partial derivative with respect to y gives the rate of change of f in the y direction. ... Hence, the directional derivative is the dot product of the gradient and the vector u.