Aspire's Library
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Let $(2\alpha,\alpha)$ be the largest interval in which the function
$f(t)=\frac{|t+1|}{t^2},; t<0$
is strictly decreasing.
Then the local maximum value of
$g(x)=2\log(x-2)+\alpha x^2+4x-\alpha,; x>2$
is ______.
Solution
From graph ⇒ decreasing on $(-2,-1)$
$\alpha=-1$
$g(x)=2\log(x-2)-x^2+4x+1$
$g'(x)=\frac{2}{x-2}-2x+4$
$=\frac{1-(x-2)^2}{x-2}$
Critical point ⇒ $x=3$
$g(3)=2\log1-9+12+1=4$
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
