query: How can ∇f(x,y) be perpendicular to the tangent plane but also point in the direction of greatest ascent
positive_passages.docid: 29026
positive_passages.text: Is the gradient a surface normal vector or does it point in the direction of maximum increase of f
negative_passages.docid: 139552
negative_passages.text: Geometric intuition behind gradient, divergence and curl
negative_passages.docid: 140024
negative_passages.text: How to obtain the gradient in polar coordinates
negative_passages.docid: 48130
negative_passages.text: Why limits give us the exact value of the slope of the tangent line?
negative_passages.docid: 105205
negative_passages.text: Slope of geometry as `fac` input for cycles material
negative_passages.docid: 71074
negative_passages.text: The locus of the intersection point of two perpendicular tangents to a given ellipse
negative_passages.docid: 16607
negative_passages.text: Calculating grid convergence (True North to Grid North)
negative_passages.docid: 152252
negative_passages.text: Tangent vector of photon
negative_passages.docid: 121084
negative_passages.text: Right triangles and tangent lines
negative_passages.docid: 123976
negative_passages.text: Slope of the tangent line, Calculus
negative_passages.docid: 86640
negative_passages.text: Equation of a line that is tangent to a curve at point
negative_passages.docid: 78753
negative_passages.text: $f(x,y)=4x^3y^2$ Dealing with Directional Derivatives and Vectors
negative_passages.docid: 78603
negative_passages.text: which vectors are perpendicular to each other?
negative_passages.docid: 26602
negative_passages.text: Continuity and existence of directional derivatives at all directions of a $f:\mathbb{R}^{2} \to \mathbb{R}$ given by $f(x,y)=\frac{2x^2y}{x^2+y^2}$
negative_passages.docid: 116417
negative_passages.text: Method of Steepest Descent and Lagrange
negative_passages.docid: 38192
negative_passages.text: Derivative of inverse function at a point.
negative_passages.docid: 152476
negative_passages.text: Unique Perpendicular Geodesic