Which of the Following Lines Is/are Parallel to the Tangent $y = - x ^ { 3 }$

question 131

Multiple Choice

Which of the following lines is/are parallel to the tangent line of the graph of $y = - x ^ { 3 }$ at the point where $x = 1$ and the slope of the tangent line is $- 3 x ^ { 2 }$ .
(I) y = -3x + 1
(II) y = 3x + 1
(III) y = -3x - 4
(IV) y = 3x + 1

• A) (II) and (III)
• B) (I) and (III)
• C) (I) and (II)
• D) (III) and (IV)
• E) none of these

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