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Minimize $f(x) = x_1^2 -x_1x_2+2x_2^2-2x_1+e^{x_1+x_2}$

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#multivariable-calculus #derivatives #optimization #maxima-minima
362
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Derivative of a matrix using Kronecker product

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#derivatives #matrix-calculus #kronecker-product
193
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Prove that function is smooth

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#calculus #real-analysis #integration #derivatives
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demand function from utility

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#derivatives #economics #utility
57
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How is this expression expanded?

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#linear-algebra #algebra-precalculus #derivatives
885
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Differential of the norm in $\mathbb{R}^n$

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#derivatives
255
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Substituting $y^2$ in a differential equation

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#ordinary-differential-equations #derivatives
598
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Solution verification post : Problem $12.1$, Mathematical Analysis, Apostol

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#real-analysis #analysis #multivariable-calculus #derivatives #proof-verification
35
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Differentiation of $(x,y)\mapsto g(x+h(x,y))$

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#derivatives
1.3k
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Solution verification post : Problem $12.2$, Mathematical Analysis, Apostol

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#real-analysis #analysis #multivariable-calculus #derivatives #proof-verification
47
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How to take derivatives of this equation?

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#derivatives
36
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Find an equation of the tangent line to the graph of

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#derivatives
55
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Finding derivative given $f(x)$ and limit

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#functions #derivatives
63
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Proving that $xf'(x) = \frac{x}{x+1}(x+1)f(x+1) - xf(x) - \frac{1}{2}xf''(ξ)$

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#calculus #ordinary-differential-equations #derivatives
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Derivative of log(y)

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#derivatives

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