# Math Help - Second Derivative

1. ## Second Derivative

If the second derivative is continually increasing over the interval [-2,1] on h(x), what does that tell us about the first derivative, h'(x)? Thanks!

2. ## Re: Second Derivative

the first derivative, h'(x), will be monotonically increasing on that interval.

3. ## Re: Second Derivative

Originally Posted by state
If the second derivative is continually increasing over the interval [-2,1] on h(x), what does that tell us about the first derivative, h'(x)?
Consider the function: $h(x)=-e^{-x}$. See its plot here.

Please note that $h(x)=h''(x)$, hence the second derivative is increasing on $[-2,1]$ but what about $h'(x)=e^{-x}~?$.

4. ## Re: Second Derivative

ignore post #2. It's incorrect.