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Multi-index derivatives in Sobolev spaces

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#derivatives #sobolev-spaces
127
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Derivative of a determinant with differentiable functions as elements

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#derivatives #determinant
368
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Second derivative test using $f_{yy}$ instead of $f_{xx}$?

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#calculus #derivatives #maxima-minima
335
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( True/False) $f(x)=0$ has no positive solution if $f(0)=0$ and $f'(0)>0$

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#real-analysis #derivatives #continuity
150
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Implicit differentiation vs chain rule

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#ordinary-differential-equations #derivatives #implicit-differentiation #chain-rule
94
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Antiderivative of $x\sqrt{1+x^2}$

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#integration #derivatives #chain-rule
258
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Calculate the derivative of a scalar function w.r.t its vector argument?

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#matrices #derivatives #vectors
74
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Is it legal to multiply left side of equation by $\mathrm{d}y$ and right side by $\mathrm{d}x$?

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#calculus #derivatives #notation
118
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Prove the function series is differentiable

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#calculus #sequences-and-series #derivatives
31
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when taking x to the power of 2 in a function do I put my x number in parentheses or not?

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#derivatives
719
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If $V= x^nlogx$ then prove that $V_n = nV_{n-1} + (n-1)!$ where $V_n $ is the nth derivative of $V$

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#calculus #derivatives
73
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Derive the exact ODE solved by specific function

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#calculus #ordinary-differential-equations #derivatives
254
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Proving that $q(A,S)>0$ if $A>0$, $S<0$ and $p_i(A,S)>0$

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#derivatives #inequality #polynomials
108
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General form of the $n^{\text{th}}$ derivative of $x^x$

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#derivatives #proof-verification #exponential-function #analytic-continuation
275
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High Order Derivative

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#calculus #derivatives #taylor-expansion

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