Application of DerivativeHard
Question
On the curve x3 = 12y. The interval in which abscissa changes at a faster rate then its ordinate
Options
A.(0, 2)
B.(- ∞, - 2) ∪ (2, a)
C.(-2, 2)
D.none of these
Solution
x3 = 12y
3x2
= 12 
⇒ 
> 
⇒ 12
⇒ x2 < 4 ⇒ x ∈ (-2, 2)
3x2
= 12 ⇒ > ⇒ 12
⇒ x2 < 4 ⇒ x ∈ (-2, 2)
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