Processing math: 33%
Home / Aptitude Tests / Further Mathematics / Find the coordinates...
Find the coordinates of the point on the curve \(y = x^{2} +...

Find the coordinates of the point on the curve y=x2+4x2, where the gradient is zero.

A.

(-2, 10)

B.

(-2, 2)

C.

(-2, -2)

D.

(-2, -6)

Correct answer is D

y=x2+4x2

dydx=2x+4=0

2x=4x=2

y(2)=(22)+4(2)2=482=6

\therefore (x, y) = (-2, -6)