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 :)

Question

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 :)

anonymous · Answer

gradient is slope ?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

$$6x ^{2}+12\sqrt{x}$$

anonymous · Answer

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 · Answer

$$6x^2+12x^0.5$$

anonymous · Answer

in which standard you are miss???

anonymous · Answer

what do you mean? what standard?

anonymous · Answer

which class??

anonymous · Answer

AS=Alevel 
why?!

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

what?

anonymous · Answer

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

anonymous · Answer

the gradient

anonymous · Answer

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 · Answer

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

anonymous · Answer

but the points are 4,10

anonymous · Answer

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

anonymous · Answer

are you getting the hint????

anonymous · Answer

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 · Answer

what hint?
i still dont get it

anonymous · Answer

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

anonymous · Answer

y2-y1/x2-x1

anonymous · Answer

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

anonymous · Answer

i asked for curve (in general)

anonymous · Answer

huh?
soz dunno what ur talkin about the equation?

anonymous · Answer

do you know differentiation and integration???

anonymous · Answer

not sure :S
i get confused with them both

anonymous · Answer

wait, differentiation finds the gradient, doesnt it

anonymous · Answer

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 · Answer

this is really confusing :(