Question

If the angle made by the tangent drawn at any point of curve with positive x-axis is tan^–1(x² – 2x) " xĪR then a local maximum of the curve is at x =

• A. 0
• B. 1
• C. 2
• D. ) None of these

Answer 1

Answer: (A)

0

Answer 2

$\frac { d y } { d x }$ = x² – 2x

$\frac { d y } { d x }$ = 0 at 0, – 2 Ž $\frac { d ^ { 2 } y } { d x ^ { 2 } }$ = –2 at x = 0