Do you know to derive an exponential function using the chain rule? If not, then some of the lessons found here may help you.
Okay so I've been calculating using the simple e^x derivations. I found that on my Texas TI-89 Titanium I can use the nDeriv( command to EXTREMLY easy and fast calculate pretty much any derivation as long as I have something to go at.
So how would you guys/girls calculate this;
I`(7) if
I(x) = 15'000*e^(0.24x)
Is is possible to do this without "cheating" using my calc?
I'm from Sweden so I don't know your english technical terms for math
Anyways I pretty much do know how to derivate it;
f(x) 15'000e^(0,24x)
f´(x) = 3600e^(0,24x)
f´(7) = 3600e^(0,24*7)
and so on
Still.. I can't calculate this without using my calc. How would you do it?
That's not true... I wrote some notes on exponentials that should be very helpful.
The power series that Iso provided is about the only way you could calculate such values without the use of a calculator, unless you can do such arithmetic in your head which is possible if your estimate the value of e to be about 2.7.