In what sense does a gradient point in the direction of maximum increase?
117076
Gradient of a function as the direction of steepest ascent/descent
62377
max and min versus sup and inf
83479
Example how maximizing and minimizing a function can be equivalent?
42302
Use of Holder inequality in gradient estimate for harmonic function.
127114
Differentiability implying continuity
137979
Can I make a plot with gradient filling?
144838
How to know whether Lagrange multipliers gives maximum or minimum?
140078
Interpretation of eigenvectors of Hessian in context of local min/max/saddle?
120406
$f$ strictly increasing does not imply $f'>0$
152916
What is the gradient with respect to a vector $\mathbf x$?
44724
Intuition Behind Maximum Principle (Complex Analysis)
9735
Why does a change of direction imply an acceleration?
109097
Is there a unique saddle value for a convex/concave optimization?
109792
Divergence as transpose of gradient?
34750
If every point is a local maximum, is it a step function?
90892
Is a function increasing if the derivative is positive except at one point of an interval?
31672
$L^p$-norm of the gradient of a harmonic function.