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

If F(x)=(f(x2))2+(g(x2))2 where fā€²(x)=āˆ’f(x) and g(x)=fā€²(x) and given that F(5)=5, then F(10) is equal to


A

5

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

10

No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
C

0

No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
D

15

No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
Open in App
Solution

The correct option is A

5


F(x)=(f(x2)2)+(g(x2))2
F(x)=2f(x2).f(x2).12+2g(x2).g(x2).12
=f(x2).f(x2)+f(x2).f(x2)
[g(x)=f(x)g(x)=f"(x)]
=f(x2).f(x2)f(x2)f(x2)
=0 [f(x)=f(x)]
F(x) is a constant fucntion.
F(x)=F(5)=5 xRF(10)=5


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