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What do the symbols d/dx and dy/dx mean?

Okay this may sound stupid but I need a little help... What do $Large frac {d} {dx}$ and $Large frac {dy} {dx}$ mean? I need a thorough explanation. Thanks.

2024 May 21

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The difference between $Delta x$, $delta x$ and $dx$

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

2024 Jun 20

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calculus

These identities for $int_0^1 x^ {-x} dx$ and $int_0^1 x^x dx$ are sometimes called the "sophomore''s dream". Look that up on Wikipedia.

2024 Oct 27

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What does $dx$ mean?

A "signed definite integral" for computing work and other "net change" calculations. The value of an expression such as $int_0^1 x^2,dx$ comes out the same under all these interpretations,

2024 Jul 22

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Understanding the differential $dx$ when doing $u$-substitution

I just finished taking my first year of calculus in college and I passed with an A. I don''t think, however, that I ever really understood the entire $frac{dy}{dx}$ notation (so I just focused on

2025 Jan 19

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ordinary differential equations

I''m taking differential equations right now, and the lack of fundamental knowledge in calculus is kicking my butt. In class, my professor has done several implicit differentiations. I

2025 Oct 15

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What does the dx mean in an integral? [duplicate]

I know dy/dx for example means "derivative of y with respect to x," but there''s another context that confuses me. You will generally just see a dx term sitting at the end of an integral equation an...

2024 Sep 19

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What is $dx$ in integration?

The symbol used for integration, $int$, is in fact just a stylized "S" for "sum"; The classical definition of the definite integral is $int_a^b f (x) dx = lim_ {Delta x to 0} sum_ {x=a}^ {b} f

2024 Mar 10

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Meaning of dx, dy, du (u-substitution)

I understand the meaning of $frac {dy} {dx}$ and $int f (x)dx$, but outside of that what do $dy, du, dx$ etc.. mean? When I took calc I, derivatives and integrals were given a

2024 Sep 01

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