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)
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
An inverted cone has a depth of 10 cm and a base of radius 5 cm. Water is poured into it at the rate of 3/2 c.c. per min...At the point P(a, an) on the graph of y = xn(n ∈ N) in the first quadrant a normal is drawn. The normal intersects...Which of the following statements are true :...If the point (1,3) serves as the point of inflection of the curve y = ax3 + bx2 then the value of ′a′ and &#...The abscissa of the point on the curve ay2 = x3, the normal at which cuts off equal intercepts from the axes is-...