Question

Please Help! MEDAL WILL BE REWARDED!!!
Find d^2(y)/dx^2 in terms of x and y.
y^2=4x

Answer 1

It's just asking you to find the second derivative using implicit differentiation.

y^2 = 4x
2yy' = 4
yy' = 2

y(y'') + y'(y') = 0

Substitute in for y and y'

sqrt(4x)y'' + (2/y)^2 = 0
y'' = -(2/y)^2 / sqrt(4x)

Answer 2

okay, so that is in terms of both x and y?

Answer 3

Where does the sqroot come from?

Answer 4

it was in the origanal problem

Answer 5

oh, I see okay, thank you!

Answer 6

welcome hope i helped some

Answer 7

Is your last answer my final answer or do I simplify? @jjuden

Answer 8

you have to Substitute in for y and y'