Derivative “characters”/ “operation notation”

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Calculus

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In calculus 1, when we were just beginning to take derivatives, we used notation “d/dx”.

Ex. Find the derivative of the following...

3x...... d/dx= 3

4x^2...... d/dx = 8x

Then when we introduced functions and equational derivatives, the notation seems like it changes to dy/dx.

Ex. Find the derivative of the function...

Y= 4x..... dy/dx = 4

Y= 5x^2.... dy/dx = 10x.

*SO MY QUESTION

Can some one explain to me the actual meaning of the composition of the operators? I’m not sure anyone has actually explained it.

Dy/dx as far as I know is “derivative of Y with respect to X”. Does that mean the “d/dx” just means derivative with respect to X?

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closetnerd5

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Posted: 5 years ago
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