Could someone please answer this question
The gradient of a curve is (6x^2)+(12x^1/2).
The curve passes through the point (4,10).
Find the equation of the curve.
thanks :)

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- anonymous

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- anonymous

gradient is slope ?

- anonymous

im not sure but i think it is because whenever i mention gradient people go on about slopes :p

- anonymous

hello miss, i couldn't understand the question. can you write it in the same way as in your assignment

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## More answers

- anonymous

\[6x ^{2}+12\sqrt{x}\]

- anonymous

q6) The gradient of a curve is (6x^2)+(12x^1/2).
The curve passes through the point (4,10).
Find the equation of the curve.
(5marks)

- anonymous

\[6x^2+12x^0.5\]

- anonymous

in which standard you are miss???

- anonymous

what do you mean? what standard?

- anonymous

which class??

- anonymous

AS=Alevel
why?!

- anonymous

just to know how deep i have to go answering this question

- anonymous

oh, so you know how to do it :)
yay!

- anonymous

i know how to do such question but something is odd in this question

- anonymous

what?

- anonymous

nothing!! okay, tell me what you mean by slope of a curve???

- anonymous

the gradient

- anonymous

and that that gradient passes through that equation
and i need to use the points to make and equation
this is what i assume

- anonymous

i think from the gradient/slope a curve, one mean the slope of the tangent line at any point of the curve

- anonymous

but the points are 4,10

- anonymous

hmm, how you find the slope of the curve???

- anonymous

are you getting the hint????

- anonymous

i think you now know, how to solve this question. if you still face problem then post it here and i'll solve it for you.

- anonymous

what hint?
i still dont get it

- anonymous

okay, tell me how you find the slope of the curve

- anonymous

y2-y1/x2-x1

- anonymous

that's the way to find the slope of a straight line :P

- anonymous

i asked for curve (in general)

- anonymous

huh?
soz dunno what ur talkin about the equation?

- anonymous

do you know differentiation and integration???

- anonymous

not sure :S
i get confused with them both

- anonymous

wait, differentiation finds the gradient, doesnt it

- anonymous

if differentiation of the curve equation finds the gradient (as you said) then will the integration of the gradient equation gives the curve equation???

- anonymous

this is really confusing :(

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