May 2, 2015 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …

Sep 16, 2024 · Is the purpose of the derivative notation $\\frac{d}{dx}$? strictly for symbolic manipulation purposes? I remember being confused when I first saw the notation for …

Jun 29, 2017 · Show that $ {d\over dx}\tanh^ {-1}x = {1 \over 1-x^2}$ Ask Question Asked 8 years, 2 months ago Modified 8 years, 2 months ago

Dec 27, 2013 · Well, $\delta x$ means different things depending on the context. For example, it has a particular meaning in variational calculus, and a completely different one in functional …

Mar 5, 2011 · In Leibniz notation, the 2nd derivative is written as $$\dfrac {\mathrm d^2y} {\mathrm dx^2}\ ?$$ Why is the location of the $2$ in different places in the $\mathrm …

I have often seen "the second derivative of y with respect to x" written as $${d^2y\\over dx^2},$$ but I don't understand the reason for this notation. I have always seen it written as …

Feb 5, 2019 · At the end I mistakenly quoted $ { {dy} \over {dx}} = {1 \over {4 {t^3}}}$ to be $ { {dy} \over {dx}} = 4 {t^ { - 3}}$, when in actual fact it is $ { {dy} \over {dx}} = { (4 {t^3})^ { - 1}}$, so I …

Sep 10, 2020 · 2 This question already has answers here: What am I doing when I separate the variables of a differential equation? (5 answers) What do the symbols d/dx and dy/dx mean? …

For a definite integral with a variable upper limit of integration $\int_a^xf (t)\,dt$, you have $ {d\over dx} \int_a^xf (t)\,dt=f (x)$. For an integral of the form $$\tag {1}\int_a^ {g (x)} f (t)\,dt,$$ …

8 I'm new to calculus, and I'm trying to understand the syntax of derivatives: $$\frac {dy} {dx}$$ At a glance it implies some kind of division and some variable "d" has entered the picture. Does …