
#1
Jul712, 08:37 AM

P: 42

if first derivative is the slop of the given functions, then what is the physical meaning of exponential function remaining the same function after differentiation??
does it mean its vertical tangency make it indifferentiable? plz clarify me the concept... regards 



#2
Jul712, 10:40 AM

P: 295

It means that the curve of the exponential function has the same instantaneous rate of change at a given point as its value.




#3
Jul712, 01:49 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,877

I'm afraid you will have to tell us what you mean by the "physical meaning" of a mathematics statement.




#4
Jul712, 02:50 PM

P: 799

exponential function differentiationThat's why the exponential function is intimately involved in the growth of populations. Same thing with compound interest. The amount of interest you get is proportional to how much money you already have. And the formula for compound interest does in fact turn out to be an exponential function. That's the physical meaning. The amount of growth (the derivative) is proportional to the amount of stuff that's already there. 



#5
Jul812, 09:26 AM

P: 42

wow! thanks a lot...now i got my answer..
regards 



#6
Jul812, 09:26 AM

P: 42

wow! thanks a lot...now i got my answer..
regards 


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