2006-12-19 18:05:06 · 12 answers · asked by james 2 in Science & Mathematics ➔ Mathematics
e has it's own little set of rules.
If y = e^x
dy/dx = e^x.
2006-12-19 21:08:16 · answer #1 · answered by Brenmore 5 · 0⤊ 0⤋
If the x has a coefficient in front of it, you would still have to multiply e by that coefficient.
So dy/dx of e^3x = 3e^3x.
2006-12-19 20:05:28 · answer #2 · answered by Snerler 3 · 0⤊ 0⤋
If going to say this too. The derivative of e^x is e^x. That's one of the reasons why e is such a special number. Just so you'd like to know, the derivative of log base e of x is 1/x. Have fun with your maths.
2006-12-19 18:10:29 · answer #3 · answered by iamdaroot 2 · 0⤊ 0⤋
I agree with the previous answers... anyways, be careful later, when e is raised to a power that is more than an x. even thou derivative of e^x is e^x, it's not the case when it goes e^(2x) or anything other than x...
2006-12-19 18:18:07 · answer #4 · answered by Kohaku 2 · 0⤊ 0⤋
I always thought that the Euhler function was unique in it being the derivative of itself. (Sorry, I know not the answer but the others surprised me.)
2006-12-19 18:28:42 · answer #5 · answered by antoinebucher 1 · 0⤊ 0⤋
y = e^x
dy/dx = e^x
2006-12-19 19:41:05 · answer #6 · answered by george t 2 · 0⤊ 0⤋
how many ever times u do derivative to this,u get e^x only..its a special case..
2006-12-19 18:32:05 · answer #7 · answered by For peace 3 · 0⤊ 0⤋
The derivative of e^x is just itself, e^x.
2006-12-19 18:07:15 · answer #8 · answered by Doug 2 · 0⤊ 0⤋
If y = e^x
dy/dx = e^x also.
2006-12-19 18:07:32 · answer #9 · answered by Northstar 7 · 1⤊ 0⤋
it will always the same...
Se^x = e^x
y = e^x
y' = e^x
y'' = e^x
y''' = e^x
it's the special case in calculus... oo yeah.. i forget the c
2006-12-19 18:24:20 · answer #10 · answered by Mr.Math 1 · 0⤊ 0⤋