Suppose is twice differentiable with and

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Suppose

s

is twice differentiable with

s'(x)=e^{x}(x-4)

and

s''(x)=e^{x}(x-3)

. For which of the following intervals is

s

decreasing and concave up? (a)

(4,\infty)

(b)

(3,4)

(c)

(-\infty,3)

(d) There is no interval on which both conditions hold.