Show that if $ A(t) \in \mathbb{R ^{n×n}}$ is a differentiable function of $t$ then $\frac{d(det A(t))}{dt}$
139534
Derivative of determinant, which is correct?
78319
Show that $x \mapsto \frac{f(x)}{x}$ is strictly increasing on (0,1) given that f '(x) is strictly increasing on (0,1) and that f(0)=0
126962
Differentiation under integral sign (Gamma function)
61481
Continuously Differentiable Curves in $\mathbb{R}^{d}$ and their Lebesgue Measure
68973
Is the determinant differentiable?
55232
Show that $g\circ f\equiv 0$ implies $\det Df\equiv 0$, where $g(x_1,...,x_n)=x_1^5+...+x_n^5$
53466
derivative of a determinant of matrix
7384
How do I prove that $m(TE)=\left|\det(T)\right|m(E)$?
46825
The identity det(A) = exp(Tr(ln(A)) for A general
139453
Prove that $\frac{1}{f'(a)} = \frac{1}{2\pi i} \int_C \frac{1}{f(z)-f(a)} dz$
15727
show that if $f$ is uniformly differentiable then prove that $f'$ is continuous
13612
Show the existence of a complex differentiable function defined outside $|z|=4$ with derivative $\frac{z}{(z-1)(z-2)(z-3)}$
56275
Vector derivative w.r.t its transpose $\frac{d(Ax)}{d(x^T)}$
34136
$f$ is differentiable in $[0,1]$ ,$\sup_{x\in[0,1]}|f'(x)| \le M\lt+\infty $
91251
$n$th derivative of $e^{ax}\sin(bx+c)$
111458
Prove that $f$ is differentiable
14646
Prove $\det(kA)=k^n\det A$