Math - 1st and 2nd derivative

Job ID: 36226067

Budget: $8 – $15 USD

I am looking for an expert mathematician to help me solve a math problem involving derivatives. Specifically, I need someone who is comfortable working with both the first and second derivatives at an advanced mathematics level. The project could be related to calculus, algebra, or geometry, so having knowledge in all three (or more) fields will be ideal. If you have the experience and skill to tackle this difficult problem, I'd love to hear from you!

So, in a machine we have memory counter that captures the memory usage with the passing of time. Now, in a steady state the memory usage is almost linear but in case of an error memory usage spikes up. I have attached a e^x as an example. But the change in memory usage spikes up. Now, at every instant of time we can get the memory used. Can we form an equation and take 1st and 2nd derivative to capture the rate of change. Or maybe just the 1st derivative is needed.