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How to solve $\Delta f + |f|^{4/(N-2)}f=0$?

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#analysis #proof-verification #partial-differential-equations #partial-derivative
74
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Find $\nabla (\vert \overrightarrow r \rvert^2)$

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#derivatives #vectors #partial-derivative #vector-analysis
329
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derivative of the lagrangian

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#derivatives #partial-derivative #lagrange-multiplier
312
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Derivative of Stirling numbers

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#partial-derivative #gamma-function #stirling-numbers
36
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If $f_x(0,0)$ doesn't exists, can we conclude that $f_{xy}(0,0)$ doesn't exist?

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#partial-derivative
533
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Use the triple product rule to find partial derivative

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#calculus #partial-derivative
40
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How can I get this equation? $F(x+yd\phi, y+xd\phi) = F(x,y) + (y\frac{\partial{F}}{\partial{x}} + x\frac{\partial{F}}{\partial{y}})d\phi$

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#multivariable-calculus #partial-derivative
92
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If at optimum the objective function is monotonic in the parameter, do partial derivative with respect to the parameter exist almost everywhere?

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#optimization #partial-derivative #monotone-functions
3.3k
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Why the gradient vector gives the direction of maximum increase of a function?

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#calculus #functions #multivariable-calculus #partial-derivative #vector-analysis
642
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Chain rule, partial derivative and inner product?

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#analysis #derivatives #partial-derivative
26
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Computing partial derivatives

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#partial-derivative #economics
702
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Solid Ellipse Fitting on 2D Image Using Gradient Descent

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#partial-derivative #image-processing #error-function #gradient-descent
447
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How does chain rule work for complex valued function?

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#complex-analysis #multivariable-calculus #derivatives #partial-derivative
51
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What is the derivative of $\Big(\int_{0}^t f(i,t)\ di\Big)$ wrt to t?

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#derivatives #partial-derivative
484
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differentiable function with all partial derivatives equal

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#multivariable-calculus #partial-derivative

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