- #1

- 209

- 1

## Main Question or Discussion Point

I often see the second derivative written down like this:

[tex]\frac{d^2y}{dx^2}[/tex]

Although it seems more logical to me to write

[tex]\frac{d^2y}{d^2x^2}[/tex]

Or

[tex]\frac{d^2y}{(dx)^2}[/tex]

Since it represents

[tex]\frac{d}{dx} \frac{dy}{dx} [/tex]

Is there any logic behind this or is it just a shortcut notation to omit the square in d², or brackets in the denominator?

[tex]\frac{d^2y}{dx^2}[/tex]

Although it seems more logical to me to write

[tex]\frac{d^2y}{d^2x^2}[/tex]

Or

[tex]\frac{d^2y}{(dx)^2}[/tex]

Since it represents

[tex]\frac{d}{dx} \frac{dy}{dx} [/tex]

Is there any logic behind this or is it just a shortcut notation to omit the square in d², or brackets in the denominator?