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Questions tagged [differentials]

82 questions
2
votes
2 answers

How to take derivative with respect to logarithmic function

I have a function g as a function of x; i want to take derivative of g with respect to ln x, i.e. dg/d ln x where g= ax^2/(1+ax^2/r^2)
Nive
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2
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1 answer

How to differentiate a function that is a function of other functions?

I am trying to differentiate the function epsilon1 with respect to u, but why this does not give me any output? L10[a_] := 2*a; L20[a_] := Sqrt[5]*a; L1[a_, u_] := Sqrt[(2*a)^2 + u^2]; L2[a_, u_] := Sqrt[(2*a)^2 + (a - u)^2]; epsilon1[a_, u_] :=…
Student4Ever
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1
vote
1 answer

How to compute the composition of linear differential operator

For example, I have to write down the differential operator below as a polynomial in $\partial$ $$(\partial-f_n(x))(\partial-f_{n-1}(x))\cdots(\partial-f_1(x))$$where the product the the composition. Specifically, $$y_1 = x -…
Nirvanacs
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1
vote
1 answer

Differentiation of Vector Equation

Is it possible to get symbolic derivatives of equations with vectors as arguments without specifying every vector element explicitly. Something like f[A_Vector, B_Vector] := Dot[A, B] D[f[a, b], a[[1]]]
paw
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1
vote
2 answers

Differentiating nested functions, Differentiate unevaluated function

I have two functions G[x_]:=x^6; S[x_]:=G[x]+x^12 I would like to operate on S[x] with respect to x in three ways, where we take the differentiation as an example for an operator Plug in G[x] in S[x] and then differentiate Do not plug in…
Uwe.Schneider
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1 answer

Differentiating two tables x and y?

I have two tables x and y with x={673,674,675,...} and y={0,1,2,...} and delta=dx/dy. I would like to know how delta can be calculated knowing that delta is the derivative of x divided by the derivative of y.
Eddy Ke
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0 answers

Prevent recursion in Derivative of Piecewise condition

Can I prevent a RecusionLimit error when taking this derivative ut := a/Nt Nt := Piecewise[{{At, ut >= At}, {1, ut < At}}, 0] D[Nt, At] ````
Hedgehog
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0
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3 answers

Leave Parts of Formula inactive in partial Differentiation

for thermodynamics, I would like to use a thermodynamic derivative $$ \frac 1 T=\frac{\partial S}{\partial E}\Bigg \vert_V $$i.e. the derivative of the entropy S with respect to the energy E with the volume kept constant. In this context I tried…
Uwe.Schneider
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0
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Problema with Grassmann Derivative: two solutions for the same function

I'm confused as to why mathematica is not giving me the correct answer. I'm using the grassmannOps package and defining $\theta$, $\bar\theta$ as grassmannians and $X_{\alpha\,\dot\alpha}$ as a bosonic term. I define ${\mathcal…
CGH
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