query: Tangent line of a convex function
positive_passages.docid: 147420
positive_passages.text: Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
negative_passages.docid: 7158
negative_passages.text: Using implicit differentiation to find a line that is tangent to a curve at a point
negative_passages.docid: 55866
negative_passages.text: Convex + Monotone =? Convex
negative_passages.docid: 40438
negative_passages.text: Proving that closed (and open) balls are convex
negative_passages.docid: 125175
negative_passages.text: convexity proof of a function including ln and sums
negative_passages.docid: 97584
negative_passages.text: How to prove this property using convexity?
negative_passages.docid: 93576
negative_passages.text: Convex combination of extreme points
negative_passages.docid: 131621
negative_passages.text: Evaluating a product of tangents
negative_passages.docid: 121084
negative_passages.text: Right triangles and tangent lines
negative_passages.docid: 54764
negative_passages.text: Given a real function $g$ satisfying certain conditions, can we construct a convex $h$ with $h \le g$?
negative_passages.docid: 5076
negative_passages.text: Minimize Function over Convex Subset
negative_passages.docid: 135867
negative_passages.text: $f(x)=x^3$ is convex nor concave without to derivate
negative_passages.docid: 18763
negative_passages.text: injective holomorphic function on a convex set
negative_passages.docid: 40905
negative_passages.text: Prove $f(\sum^k_{i=1} \alpha_i x_i) \leq \sum^k_{i=1} \alpha_i f(x_i) $ for a convex function f
negative_passages.docid: 31548
negative_passages.text: Proof of "every convex function is continuous"
negative_passages.docid: 53152
negative_passages.text: Find a circle's radius with three known tangent lines
negative_passages.docid: 73074
negative_passages.text: $f \text{ convex }\Rightarrow \forall (x_0,f(x_0))\in \Gamma(f) \exists a : \forall x\in \mathbb{R}, f(x) \ge a(x-x_0)+f(x_0)$