Maths (core 3)
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9 Nov 2008, 17:36
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i'm trying to find the gradient of the graph y = 2e^(3x+1) at the point (0,2e)
what the fuck?
thankyou.
EDIT: solved
what the fuck?
thankyou.
EDIT: solved
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35.2 %
(19 votes)
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64.8 %
(35 votes)
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f'(0,2e) = 1,211712728
If I didnt mistranslated or mistype in my CAS :D
you have to make it with that rule :)
i thought you'd know it off by heart anyway :D
e: Think you need to take logs of both sides, and take it from there. Youve got values for x/y as well, so use them if you can.
Tbh that might be quite wrong, i really cant remember c3/c4 anymore :<
y=e^kx -> dy/dx=ke^kx
so
y=2e^(3x+1) -> dy/dx= 6e^(3x+1)
Then for finding the gradient at a point you simply place the x,y value(s) needed from the co-ordinate of the point into the function.
6e^(3(0)+1) = 6e =16.309....
didn't know what to do because i'd never had more than one term in the power :p