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

If we apply the Rolle's theorem to f(x)=exsinx, x[0,π] then c=0

A
3π/4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
5π/4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
π/4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
7π/4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 3π/4
We know by Rolle's theorem that a function f(x) is continuous on [a,b] and differentiable in (a,b) then there exists C(a,b) such that f(c)=0

Here f(x)=ex.sinxx[0,π]

f(x)=exsinx+excosx

f(c)=ec(sinc+cosc)=0

Since ec0, we have

tanc=1c=3π4

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Theorems for Differentiability
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon