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Derivative of trace functions using chain rule

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#matrices #derivatives #trace #chain-rule
80
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How can I express $\frac{dy}{dx}$ if I make the change of variable $x-1 = t$?

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#calculus #derivatives #chain-rule
1.1k
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Chain rule with differentiation by vectors and matrices?

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#matrix-calculus #chain-rule
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chain rule - second derivative

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#chain-rule
229
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first and second partial derivative of integral of a vector norm

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#real-analysis #derivatives #definite-integrals #partial-derivative #chain-rule
78
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The map $A\mapsto A^{-1}$ is $C^{\infty}$?

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#analysis #multivariable-calculus #differential-geometry #chain-rule
59
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Is this application of the chain rule correct?

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#calculus #chain-rule
56
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Differentiate numerically a function with respect to another

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#derivatives #physics #chain-rule
430
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Rigorously understanding chain rule for sum of functions

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#partial-derivative #calculus-of-variations #chain-rule
236
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Partial Derivative and Chain Rule

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#real-analysis #derivatives #chain-rule
90
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derivative with respect to function in numerical work

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#derivatives #numerical-methods #chain-rule
82
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Why does covariant dot contra variant basis equal 1

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#calculus #partial-derivative #chain-rule
95
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Separation of Variables when one variable depends on another.

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#partial-differential-equations #partial-derivative #chain-rule
423
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Matrix chain rule question: what is $\frac{d}{dX} f(S)$ where $S = (A+X)^{-1}$

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#matrices #matrix-calculus #chain-rule
131
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How to find $Z_y(x_0,y_0)$ if $Z(x, y) = Z(x(u,v), y(u,v)) =T(u,v)$ and $u=xy$, $v={y\over x}$?

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#multivariable-calculus #partial-derivative #implicit-differentiation #chain-rule

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