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Intrinsic derivative of a vector field at a zero

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#derivatives #vector-fields #symplectic-geometry
569
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Finding Maxima/Minima of Trig Functions (Calculus)

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#calculus #trigonometry #derivatives #maxima-minima
53
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Differentiate $1/x^{1/2}$

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#derivatives
1.4k
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Cylindrical coordinates and Differential Displacement: unit vectors and differentiation

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#derivatives #partial-derivative #cylindrical-coordinates
68
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Doubts about Lax's proof of change of variables

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#real-analysis #linear-algebra #multivariable-calculus #derivatives
247
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Implicit differentiation using unconvential quotient rule

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#calculus #derivatives #implicit-differentiation
43
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Differentiating with algebraic manipulation rather than product rule

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#calculus #derivatives #implicit-differentiation
274
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How to compute gradient of a custom loss function in neural networks and make sure it is diffentiable?

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#derivatives #optimization #gradient-descent #neural-networks
1.7k
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Numerical Differentiation - Finding h value

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#integration #ordinary-differential-equations #derivatives #numerical-methods #numerical-calculus
71
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Tangent to a curve meeting the curve at another point

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#derivatives #analytic-geometry
32
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Real Analysis problem. Dimension of a subespace $E$ and to find $v \perp E$.

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#real-analysis #derivatives
1.3k
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Gradient of $X \mapsto \mbox{Tr} \left(\left(AXA\right)^{\frac{1}{2}}\right)$

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#matrices #derivatives #matrix-calculus #scalar-fields
262
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Find the derivative of $h(x) = 1/x^2$ by definition

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#calculus #limits #derivatives
637
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For $0 < x < \pi/2 $, prove that $x + \frac{x^{3}}{3} <\tan x $

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#derivatives #inequality
68
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Hints for differentiability of series

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#real-analysis #sequences-and-series #derivatives #continuity

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