query: Derive $\frac{\partial(\mathbf{x}^T\mathbf{Ax})}{\partial \mathbf{x}} = x^TA^T+x^TA$
positive_passages.docid: 489
positive_passages.text: How to take the gradient of the quadratic form?
negative_passages.docid: 91251
negative_passages.text: $n$th derivative of $e^{ax}\sin(bx+c)$
negative_passages.docid: 48956
negative_passages.text: Simplify $\arctan (\frac{1}{2}\tan (2A)) + \arctan (\cot (A)) + \arctan (\cot ^{3}(A)) $
negative_passages.docid: 74532
negative_passages.text: Solve for $ A $ from $ A {A}^{T} $
negative_passages.docid: 17475
negative_passages.text: Find the derivative of $y= \frac{(4x^3 +8)^{\frac{1}{3}}}{(x+2)^5}$
negative_passages.docid: 152895
negative_passages.text: What is wrong with this derivation of $\frac{d}{dx}x^2$?
negative_passages.docid: 71437
negative_passages.text: How is the derivative of $\textrm{Trace}\left\{ X^T A X B\right\}$ with respect to $X$ equal to $AXB + A^TXB^T$?
negative_passages.docid: 27884
negative_passages.text: How to show via induction the product rule for derivatives?
negative_passages.docid: 95774
negative_passages.text: $\frac{\partial^2 u}{\partial t^2}-c^2\frac{\partial^2u}{\partial x^2}=0\text{ implies } \frac{\partial^2 u}{\partial z \partial y}=0$
negative_passages.docid: 88386
negative_passages.text: Derivative of matrix exponential at $0$
negative_passages.docid: 18670
negative_passages.text: What is the gradient of $x^T A\, x$ with respect to the matrix $A$?
negative_passages.docid: 21553
negative_passages.text: Prove that $\nabla_{\mathrm X} \mbox{tr} (\mathrm A \mathrm X^{-1} \mathrm B) = - \mathrm X^{-\top} \mathrm A^\top \mathrm B^\top \mathrm X^{-\top}$
negative_passages.docid: 65100
negative_passages.text: Derivative of the product of operators and Derivative of exponential
negative_passages.docid: 82170
negative_passages.text: Solve $x = \frac{1}{2}\tan(x)$
negative_passages.docid: 128355
negative_passages.text: Does $e^{tx} + x = t - 1$ yield a solution/s to $\frac{dx}{dt} = \frac{e^{-tx} - x}{e^{-tx} + t}$?
negative_passages.docid: 131769
negative_passages.text: How to derive this second derivative using the quotient rule?
negative_passages.docid: 9924
negative_passages.text: Derivative of conjugate multivariate function