Question

What's dy/dx and what's d/dx

Answer 1

d/dx is the differential operator ,, also denoted by D. and dy/dx is the slope of the function y=f(x) at the point (x,y)

Answer 2

can you elaborate on that

Answer 3

d/dx is notation for taking derivative with respect to variable x. It can be applied to any given function.

dy/dx is similar but more specific in that it represents the derivative of "y" with respect to x.
Where y is a specific function of x, or just another independent variable.
When y is a function of x, then dy/dx also represents the slope of y(x) at a given point.

In the cases of a function y(x), then d/dx and dy/dx are interchangeable and applied in same way

Answer 4

d/dx doesn't mean anything by itself. It needs an argument.

dy/dx

\(\dfrac{d}{dx}f(x) = \large \frac{df}{dx}\)

Answer 5

when solving implicit functions, why do we have to put dy/dx next to the derivative of y terms?

Answer 6

it is in respect to x, however the x is not there.

Answer 7

and the derivative is already solved, however we're putting the notation "dy/dx" again?

Answer 8

@dumbcow
@tkhunny

Answer 9

You might want to share a sample problem; then we could refer to that sample in answering your question.

Answer 10

Better make a point of learning the significance of the operators d/dx, d/dy, and so on. You'll need to use them often!

Answer 11

d/dx is the most common "derivative operator."

Answer 12

this example might help u understand why they put dy/dx after they differentiate the "y" terms with respect to x

Suppose we are differentiating x+2y+3

So
d(x+2y+3)/dx
d(x)/dx + d(2y)/dx +d(3)/dx

Here u can write d(2y)/dx like this-d(2y)/dx -> d(2y)/dy x dy/dx ->2dy/dx

So d(x)/dx + d(2y)/dx +d(3)/dx
=1+2dy/dx+0