If x=at2,y=2at, then d2ydx2=
-1t2
-1t3
-12at3
12at3
Explanation for the correct answer:
To find the value of d2ydx2 :
Given,
x=at2,y=2at
Then, differentiate x and y with respect to x.
dxdt=2atdydt=2adydx=dydtdxdt=2a2at=1t
Now, differentiate the obtained derivative with respect to x
d2ydx2=-1t2.dtdx=-1t2×12at=-12at3
Hence, the correct option is C.