# What is meaning of dy/dx

1. Aug 9, 2011

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2. Aug 9, 2011

### micromass

Staff Emeritus
3. Aug 9, 2011

### vkash

very long article.
Actually the thing i want to ask is Does dy/dx means dy divided by dx.

4. Aug 9, 2011

### micromass

Staff Emeritus

Not at all!! dy/dx is simply a notation. It's a notation for the derivative with respect to y.

5. Aug 10, 2011

### romsofia

It means the same thing as f'(x) does. Take whatever y is and take the derivative of it with respect to x.
If we have the equation, $${y=x^2}$$ what's the derivative with respect to x? We have to use implicit differentiation because you can't the derivative of y when we are taking it it with respect to x. So you have $${1*dy/dx=2x}$$

Hopefully my explanation is clear haha.

6. Aug 11, 2011

### dalcde

It does, in some sense, mean $\mathrm dy$ divided by $\mathrm dx$ in nonstandard calculus, where we use infinitesimals instead of limits to do calculus.