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15
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No. of critical points

Published on
#calculus #derivatives
345
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Compute the gradient of $f(x)=\|\text{diag}(x)\|$ with the chain rule

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#derivatives #matrix-calculus #chain-rule
37
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On an application of the chain rule.

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#real-analysis #integration #derivatives
286
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Spectrum of Derivative Operator

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#derivatives #spectral-theory
74
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Derivative the exponential map $e^A$

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#derivatives #definition #matrix-exponential
132
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When is the polynomial $P(|x+y|)$ total differentiable?

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#real-analysis #derivatives #absolute-value
53
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Write a Limit to calculate $f'(0)$

Published on
#limits #functions #derivatives
536
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Matrix exponential is differentiable at $0 \in \mathbb{R}^{n,n}$

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#real-analysis #derivatives #matrix-calculus #matrix-exponential
60
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Why is $\|A-BCA\|_F^2$ non-convex regarding $B,C$?

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#linear-algebra #derivatives #convex-analysis
64
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Find $\lambda$ such that $f$ it is differentiable in zero and has a continuous derivative in zero

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#real-analysis #calculus #limits #derivatives #continuity
1.6k
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How to compute the Jacobian matrix of a multivariate function in a nonstandard matrix?

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#multivariable-calculus #derivatives #partial-derivative #change-of-basis #jacobian
300
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An identity on $\small{}_pF_q\left(\left.\begin{array}{c} a_1+1,a_2+1,\dots ,a_p+1\\ b_1+1,b_2+1,\dots ,b_q+1\end{array}\right| z\right)$

Published on
#derivatives #hypergeometric-function
74
Views

Proof integration identity $\int_{0}^{1}dx\int_{0}^{x}e^{x^2}dy=\int_{0}^{1}dy\int_{y}^{1}e^{x^2}dx$

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#real-analysis #integration #derivatives #power-series
32
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Verification: Investigation of a linear map on surjectivity and injectivity

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#linear-algebra #derivatives #proof-verification #linear-transformations
118
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Is there a function $f \in C[0,1]$ such that $f(0)=f(1)=0$, $f'(0)=0$, $f'(1)=1$ and $\|f\|_{C[0,1]} < \epsilon$, $\|f'\|_{C[0,1]} < \epsilon$

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#real-analysis #derivatives #continuity

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