Find an Online Tutor Now

Asked • 03/14/19

Is the derivative function typically "worse" than the original function?

For instance, the absolute value function is defined and continuous on the whole real line, but its derivative behaves like a step function with a jump-discontinuity. For some nice functions, though, such as $e^x$ or $\\sin(x)$, the derivatives of course are no "worse" than the original function. Can I say something that is *typical* of the derivative? Is it typically not as nice as the original function?

1 Expert Answer

By:

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.