Application of DerivativeHard
Question
The function f(x) = x(x + 3)e-x/2 satisfies all the conditions of Rolle′s theorem on [-3, 0]. The value of c which verifies Rolle′s theorem, is
Options
A.0
B.-1
C.-2
D.3
Solution
f′(x) = 0 ⇒ x = - 2, 3
x = - 2 ∈ (-3, 0) ∴ c = - 2
x = - 2 ∈ (-3, 0) ∴ c = - 2
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
A tangent to the curve y = x2 + 3x passes through a point (0,− 9) if it is drawn at the point-...Using differentials, find the approximate value of...Angle between the curves y = sin x, y = cos x is-...A stone is dropped into a quiet lake and waves move in a circle at a speed of 3.5 cm/sec. At the instant when the radius...If a1, a2 ........ an ∈ R+ and a1, a2 .......an = 1 then the least value of (1 + a1 + a21 ) (1 + a2 + a22 )....(1 ...