Let for . Determine the least positive integer such that is decreasing on…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

f(x)=\dfrac{1}{\sqrt{x}\,\ln x}

for

x>1

. Determine the least positive integer

N

such that

f(x)

is decreasing on

[N,\infty)