- #1

mcah5

- 38

- 0

From trial and error, it seems true but I can't find it in my textbook anywhere. Am I missing something obvious?

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- Thread starter mcah5
- Start date

- #1

mcah5

- 38

- 0

From trial and error, it seems true but I can't find it in my textbook anywhere. Am I missing something obvious?

- #2

LeonhardEuler

Gold Member

- 860

- 1

- #3

[tex]

\frac{\delta}{\delta g}

[/tex]

usually denotes a functional derivative, while what you want is \partial, not \delta in LaTeX, like

[tex]

\frac{\partial}{\partial t}

[/tex]

- #4

mcah5

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- 0

- #5

amcavoy

- 665

- 0

- #6

Galileo

Science Advisor

Homework Helper

- 1,994

- 6

[tex]\frac {d} {dt} \int_{a(t)}^{b(t)} f(x,t) dx = f(b(t),t)\frac{d b}{d t}-f(a(t),t)\frac{d a}{d t}+\int_{a(t)}^{b(t)} \frac {\partial} {\partial t} f(x,t) dx [/tex]

I know a sufficient condition for this to hold is that f be uniformly continuous in the region of interest.

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