query: Derivation of $\frac{\partial}{\partial A} \left( y^T A x \right) = y x^T$
positive_passages.docid: 27738
positive_passages.text: Gradient of $a^T X b$ with respect to $X$
negative_passages.docid: 131769
negative_passages.text: How to derive this second derivative using the quotient rule?
negative_passages.docid: 66247
negative_passages.text: Proving inequality $\left( \frac {x} {y}\right) ^{x}\left( \frac {1-x} {1-y}\right) ^{1-x}\geqslant 1$
negative_passages.docid: 85984
negative_passages.text: How come $\frac{\partial(\partial_{\beta}A_{\gamma})}{\partial(\partial_{\mu}A_{\nu})} = g_{\beta\mu}g_{\gamma\nu}$?
negative_passages.docid: 20280
negative_passages.text: Proving that expression is equivalent to the definition of derivative
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: 9924
negative_passages.text: Derivative of conjugate multivariate function
negative_passages.docid: 8711
negative_passages.text: Problems in the relation $a=v\frac{\mathrm{d}v}{\mathrm{d}x}$
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: 49408
negative_passages.text: Proof of the derivative of ln(x)
negative_passages.docid: 72906
negative_passages.text: Is $\frac{\partial}{\partial x_1}=\frac{\partial}{\partial y_1}$ if $x_1=y_1$?
negative_passages.docid: 83531
negative_passages.text: Prove $\iint_{x^{2}+y^{2} \leq 1} e^{x^{2}+y^{2}} d x d y \leq\left[\int_{-\frac{\sqrt{\pi}}{2}}^{\frac{\sqrt{\pi}}{2}} e^{x^{2}} d x\right]^{2} $
negative_passages.docid: 89004
negative_passages.text: Where does the partial derivative come from in Sakurai's derivation of the momentum operator?
negative_passages.docid: 71465
negative_passages.text: solution of $y' = \exp \left(-\frac yx\right) + \frac yx$
negative_passages.docid: 110847
negative_passages.text: solution of differential equation $\left(\frac{dy}{dx}\right)^2-x\frac{dy}{dx}+y=0$
negative_passages.docid: 3406
negative_passages.text: Prove that $\frac{\partial x}{\partial y} \frac{\partial y}{\partial z} \frac{\partial z}{\partial x} = -1$ and verify ideal gas law
negative_passages.docid: 34074
negative_passages.text: Nonlinear Functional Equation $f(x)^{2}=f\left(\frac x a\right)$