Flag Differential Calculus> Monotonicity...
question mark

Ques1)  Let g(x) = {log(1+x)} -1  - x-1  , where x>0, then  (a) 1<g(X)<2      (b) -1<g(x) <0  (c) 0<g(X)<1 (d) none of these

Ques2) Show that the interval in which x3 increses more rapidly than 6x2+15x+5 is (5,infinity).

Ques3) If f(x)=x/sinx  and g(x) = x/tanx where 0<x≤1 ,then show that f(x) is inc whereas g(x) is dec.

Ques4) If tan(pie cos @) = cot (pie sin@) where 0 <@<pie/2 and f(x) = (cos@ + sin@) ) x , then find the interval in which f(X) is inc and dec.

Ques5) Using L.MV.T theorm, prove that  x - (x3/6) , sinx , x where 0 < x ≤ pie/2

Tushar Watts , 15 Years ago
Grade 12
anser 1 Answers
Askiitian.Expert Rajat

Last Activity: 15 Years ago

Hi, The answer to Q2) is as follows:

Please post seperate questions in seperate posts,

Regards,

Rajat

Askiitians Expert

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...