Check the monotonicity of f(x)=x÷sin x in (0,p÷2)
KOTAKONDADINESH , 10 Years ago
Grade 12
Integral Calculus> Check the monotonicity of f(x)=x÷sin x in...
1 Answers
Sher Mohammad
Last Activity: 10 Years ago
f'(x)=sinx-xcosx/(sinx)^2
for small x, sinx=x
f'(x)=x(1-cos x)> greater than zero
for higher values of x, also f'(x)>0, hence the function f(x) is monotonically increasing.
Sher Mohammad
B.Tech, IIT Delhi
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on Integral Calculus
The area of a square field is 640000cm2.what is its area in hectares
Integral Calculus
1 Answer Available
Last Activity: 2 Year ago(s)
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
Integral Calculus
0 Answer Available
Last Activity: 2 Year ago(s)
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
Integral Calculus
0 Answer Available
Last Activity: 2 Year ago(s)
how to solve this?this is interger type question .
Integral Calculus
0 Answer Available
Last Activity: 2 Year ago(s)
Integrate 0 to π/2 (x sin x cos x )/(a²cos²x + b²sin²x)²
Integral Calculus
1 Answer Available
Last Activity: 2 Year ago(s)