1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
fa,b≥2
b
fa,b>1
c
fa,b≤1
d
fa,b≤−2
answer is B.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
consider the function f(x)=tanx, defined on [a,b] such that a, b∈0,π2f′(c)=f(b)−f(a)b−a for some c∈(a,b)⇒sec2C=tanb−tanab−a⇒f(a,b)=sec2C⇒f(a,b)>1 ∵sec2C>1 as C∈(0,π/2)