Question

Find the curvature of the curve y=2x^2 at x=0

Answer 1

....

Answer 2

TAKE THE DERIVATIVE

y'=4x

SUB FOR X

y'=0

Answer 3

Usually curvature means the second derivative so :
\[y = 2x^2 ; y'=4x ; y''=4 \]
So the curvature is 4 everywhere.