Application of DerivativeHard
Question
A point is moving along the curve y3 = 27x. The interval in which the abscissa changes at slower rate than ordinate, is -
Options
A.(-3, 3)
B.(-∞, ∞)
C.(-1, 1)
D.(-∞, - 3) υ (3, ∞)
Solution
> 13y2
= 27 ⇒ 
> 1 ⇒ y2 < 9⇒ - 3 < y < 3 ⇒ -27 < y3 < 27
⇒ -27 < 27x < 27 ⇒ -1< x <1
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