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
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
(2r - 1)is equal to -...If the curves = 1 and y2 = 16 x intersect at right angle, then a2 equals-...The equation of normal to the curve x2/3 + y2/3 = a2/3 at the point (a, 0) is -...If normal to the curve y = f (x) at a point makes 135o angle with x-axis, then at that point dy/dx equals-...Water is dripping out from a conical funnel of semi-vertical angle at the uniform rate of 2 cm3/sec in its surface area ...