Maths (core 3)

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
Comments
23
read your book np.
i had time off, so i have no notes on this stuff :(
Parent
ask your meights.
Parent
you have to search harder :<
f'(x) = 6*x^(3x+1) * ln(x) + 2*(3x+1)*x^(3x)
f'(0,2e) = 1,211712728

If I didnt mistranslated or mistype in my CAS :D
i have trouble following that, but thanks if it's right :D
Parent
well there are rules to make f'(x) ... you gotta know them and use them :p Sry but i dont know the words in english^^
Parent
f(x)=e^(ln(f(x))

you have to make it with that rule :)
Parent
gl w dat shit
which chapter/page is it in the c3 book and i might take a look for you
only notes :<

i thought you'd know it off by heart anyway :D
Parent
i havent even done it yet, c3 isnt until like January
Parent
is izi, you have to play with ln and e to make it :)
MATHS IS GAY OLLAOLWOALWOLALOL
Im so glad ive finished my alevel maths now, just thinking of this stuff gives me a headache :DD


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 :<
<3, still on neptulon btw?
Parent
yeah, not playing atm though, guild went inactive till the expansion and since then I dont feel like playing :D
Parent
Going to play wotlk?
Parent
doubt it, since friends stopped playing the game aint fun :(
Parent
what part do you get stuck on?
Differentiating gives the gradient function.

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....
thankyou, i'm sorted now =]

didn't know what to do because i'd never had more than one term in the power :p
Parent
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