Derivative problems

[wellis77]

Not sure where this would fall so if it's in the wrong area, please feel free to move it.

I'm working on derivatives of exponential and log functions and when I put in an exponential function to differentiate, it displays the derivative using the numeric value of e rather than displaying "e". Example:

function to differentiate is: 100e^0.1*t

rather than give me 10e^0.1*t; I get 10*(1.10517)^t

Any thoughts on what settings need to be changed to display 10e^0.1*t? I tried resetting and that didn't help. Pretty confused and I have an exam coming up. Thanks.

[BlainUSM]

This post would have been more appropriate in the math forum. Your calculator is giving the correct answer but in an inconvenient (inexact) form. Here are two approaches.
Approach 1: Replace 0.1 with 1/10.

Input: d(100*e^(t/10), t)

Output: 10*e^(t/10)

Approach 2: Change the mode from auto to exact. (Push the “MODE” key, the down arrow 10 times, the right arrow, the down arrow, and then “ENTER” twice.)

Input: d(100*e^(.1*t), t)

Output: 10*e^(t/10)

If you work mostly with decimals and only occasionally with fractions, then you may prefer using the calculator in Exact mode. On the other hand, if you use mostly decimals but only occasionally use fractions, then you may prefer Approximate mode (which may be faster). And still, if you tend to make calculations that are not mixed, i.e. contain only decimals or only fractions, than you may prefer Auto mode (my choice). In Auto mode, a terminating decimal may be converted to a simplified fraction with the exact command. For example, exact(0.2) will output 1/5.