Points on the curve f(x)=1−x2x where the tangent is inclined at an angle of 4π to the x-axis are (0,0) (b) (3,−23) (−2,32) (d) (−3,23)

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Points on the curve {f{{({x})}}}={{x}}{{{1}-{x}^{{2}}}} where

Question

Points on the curve $f (x) = \frac{x}{1 - x ^{2}}$ where the tangent is inclined at an angle of $\frac{π}{4}$ to the x-axis are (0,0) (b) $(3, - \frac{3}{2})$ $(- 2, \frac{2}{3})$ (d) $(- 3, \frac{3}{2})$

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Sebastian Discussed

Points on the curve

f (x) = \frac{x}{1 - x ^{2}}

where the tangent is inclined at an angle of

\frac{π}{4}

to the x-axis are (0,0) (b)

(3, - \frac{3}{2})

(- 2, \frac{2}{3})

(d)

(- 3, \frac{3}{2})

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Question Text

Points on the curve

f (x) = \frac{x}{1 - x ^{2}}

where the tangent is inclined at an angle of

\frac{π}{4}

to the x-axis are (0,0) (b)

(3, - \frac{3}{2})

(- 2, \frac{2}{3})

(d)

(- 3, \frac{3}{2})