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
The coordinates fo points(s) at each of which the tangents to the curve y = x3 - 3x2 - 7x + 6 cut off on the positive se...The sum of the intercepts made by a tangent to the curve √x + √y = 4 at point (4, 4) on coordinate axes is-...If p, q, r are any real numbers, then...The point (s) on the curve y3 + 3x2 = 12y where the tangent is vertical, is (are)...Rolle′s theorem in the indicated intervals will not be valid for which for which of the following function-...