wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If y=(xlogex) then dydx at x=e is


A

1e

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

1e

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

e

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

e2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

1e


Finding the derivative:

Step 1: Find the dydx:

Given that,

y=(xlogex)

Differentiate the above equation with respect to x

dydx=1(logex+x×1x)2(xlogex)dlogxdx=1x=(logex+1)2(xlogex)

Step2: Finding out the value of dydxatx=e:

dydxx=e=(logee+1)2(elogee)=22e=1e

Hence, B is the correct option.


flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Extrema
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon