question about derivative definition

mnb96

Hello,
considering the definition of derivative, what would the following quantity be equal to?
[tex]\lim_{\delta \to 0} \frac{f(x+g(\delta))-f(x)}{g(\delta)}[/tex]

In this case [itex]g(\delta)[/itex] is a monotonic increasing function such that g(0)=0.
For example we might have [itex]g(\delta)=\delta^3[/itex]

mnb96	question about derivative definition Tweet Hello, considering the definition of derivative, what would the following quantity be equal to? [tex]\lim_{\delta \to 0} \frac{f(x+g(\delta))-f(x)}{g(\delta)}[/tex] In this case [itex]g(\delta)[/itex] is a monotonic increasing function such that g(0)=0. For example we might have [itex]g(\delta)=\delta^3[/itex]