Recently in my mathematics courses I was taught partial derivatives, and I wondered if the reverse exists for integrals. This may sound like a stupid question, and it probably is, but let me expla...

Sep 14, 2015 · OK, we don't really need partial derivatives to figure out that those trajectories will run along circular arcs, but we could have some other two-variable function where the answer is not so …

The instructor gives us the partial derivatives for both $\theta_0$ and $\theta_1$ and says not to worry if we don't know how it was derived. (I suppose, technically, it is a computer class, not a mathematics …

Apr 15, 2014 · Integrating a Partial Derivative Ask Question Asked 11 years, 8 months ago Modified 5 years, 3 months ago

The partial derivatives are $\frac {\partial f} {\partial x}=\frac {2y^3-6x^2y} { (x^2+y^2)^3} \text { and } \frac {\partial f} {\partial y}=\frac {2x^3-6y^2x} { (x^2+y^2)^3}$. So, they exist. Doesn't differentiability …

I simply solved the former using the trig identity $\sin^2 \theta + \cos^2 \theta = 1$, resulting to $\partial w / \partial r = 2r$. However I was told that this solution could not be applied to this question because …

Dec 24, 2024 · 3 I'm trying to understand the distinction between total and partial derivatives in the context of kinematics, and I feel confused about how to treat variables explicitly or implicitly as …

Oct 20, 2020 · The stuff about partial derivatives holding every parameter except the one in the derivative direction constant should still be true. I will remove my erroneous comment.

Today, in my lesson, I was introduced to partial derivatives. One of the things that confuses me is the notation. I hope that I am wrong and hope the community can contribute to my learning. In sin...

Can "being differentiable" imply "having continuous partial derivatives"? Ask Question Asked 14 years, 6 months ago Modified 8 years, 6 months ago