query: All derivations are directional derivatives
positive_passages.docid: 155509
positive_passages.text: Does a linear operator obeying Leibniz rule imply it is a differential operator?
negative_passages.docid: 13020
negative_passages.text: Proof for the funky trace derivative : $d (\operatorname{trace} (ABA'C))$?
negative_passages.docid: 75390
negative_passages.text: How does one prove that if function's partial derivative respect to every variable is zero, function is constant?
negative_passages.docid: 9924
negative_passages.text: Derivative of conjugate multivariate function
negative_passages.docid: 139631
negative_passages.text: How to take this exterior derivative of the expression $du - \sum_i p_i dx_i$?
negative_passages.docid: 107290
negative_passages.text: proof of product rule of derivatives using first principle?
negative_passages.docid: 144426
negative_passages.text: Example of a function $f:\mathbb{R}^2\to\mathbb{R}$ not differentiable at $(0,0)$, but has a directional derivative at $(0,0)$ in all directions
negative_passages.docid: 116832
negative_passages.text: Appearance of Formal Derivative in Algebra
negative_passages.docid: 115635
negative_passages.text: Differentiability of antiderivative and continuity of derivative
negative_passages.docid: 84597
negative_passages.text: Derivative of $(1-x)^{-2}$
negative_passages.docid: 36990
negative_passages.text: Notation of the second derivative - Where does the d go?
negative_passages.docid: 40960
negative_passages.text: Implicit Differentiation
negative_passages.docid: 71092
negative_passages.text: What are the derivatives of position with respect to time
negative_passages.docid: 51253
negative_passages.text: Graphical intuition behind directional derivative interpreted as a(∂f/∂x)+b(∂f/∂y), where  is directional vector of unit length?
negative_passages.docid: 56424
negative_passages.text: Using D to find a symbolic derivative
negative_passages.docid: 30836
negative_passages.text: Derivative of a determinant whose entries are functions
negative_passages.docid: 153816
negative_passages.text: Real Roots and Differentiation