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Results tagged with derivatives
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user 1003350
Questions on the evaluation of derivatives or problems involving derivatives (for example, use of the mean value theorem).
0
votes
1
answer
30
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Derivative with respect to a modified independent variable [duplicate]
I was not sure how to word this question, but I'm wondering how to evaluate
$$\frac{dy}{d(ax)}$$
where $y=f(x)$ and $a$ is a constant.
I was thinking I could write $y=f(ax/a)$ and rename $u=ax$, so $y …
- 349
0
votes
1
answer
38
views
Derivative of $f(\theta(t)))$ with respect to the derivative of $\theta$, i.e. $\frac{\parti...
Suppose I have an angle $\theta(t)$ as a function of time, and I'm considering the expression
$$f(t) = \dot{\theta}\sin(\theta)$$
Is it true that
$$
\frac{\partial f}{\partial \dot{\theta}} = \sin\the …
- 349
5
votes
0
answers
68
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Derivation of entropy inequality for scalar conservation laws from viscous equation - discon...
I am self-studying Numerical Methods for Conservation Laws by LeVeque. I have a question about the derivation of the entropy inequality for the convex scalar conservation law
$$
u_t+f(u)_x=0\tag{1}
$$ …
- 349