+91-87964 74404
FlagBACK
Question icon
Grade 12th PassDifferential Calculus

f(x)=log(x+(x2+1)1/2) is (a) even function (b) odd fubction (c)periodic function (d)neither even nor odd function

Explain ur answer pls.

Profile image of Aditi Bhatnagar
14 Years agoGrade 12th Pass
Answers icon

1 Answer

Profile image of Ashwin Muralidharan IIT Madras
ApprovedApproved Tutor Answer14 Years ago

Hi Aditi,

 

Note that √(x2+1) - x = 1/[√(x2+1) + x]

Hence log(√(x2+1) - x) = -log[√(x2+1) + x]

 

Hence f(-x) = -f(x).

Hence f(x) is odd.

 

Hope that helps.

 

Best Regards,

Ashwin (IIT Madras).

Other Related Questions on differential calculus

question mark
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?
differential calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Find dy/DX when y=x^sinx+sin-1√x.
 
Please give me the solution of this problem. 
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
1 Answer Available

Last Activity: 4 Years ago