How to find the maximum directional derivative at a point p Ask Question Asked 8 years, 7 months ago Modified 3 years, 9 months ago

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I just recently learned about directional derivatives and I am really lost on how they come up with unit vector or direction. I get that they come up with partial derivatives for each function and to

[note the question said "find the directions" rather than "direction"; I think in general for a desired value of the directional derivative strictly between the gradient and the negative of the …

Aug 9, 2021 · Find the directional derivative at a point and in the direction of a given vector. Ask Question Asked 4 years, 2 months ago Modified 4 years, 2 months ago

Sep 2, 2015 · Finding the directional derivative. Ask Question Asked 10 years, 1 month ago Modified 2 years, 2 months ago

Be careful that directional derivative of a function is a scalar while gradient is a vector. The only difference between derivative and directional derivative is the definition of those terms.

Oct 19, 2015 · That is a way to calculate directional derivatives when the gradient exists, but directional derivatives can be defined without this. In those definitions, there’s no need to use …

Aug 2, 2021 · I plugged in $ (1,2)$ to get the direction where the directional derivative is maximal (it asks this earlier on in the question) and got $ (2/9 , -1/9)$ In my previous post on here …

Yes, the directional derivative is maximal in the direction pointing along the gradient, i.e., $$ \hat v = \frac {1} {\|\nabla f\|}\nabla f\,.$$ This is a general result of multivariable calculus. Since you …