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

If f(x)=x0(1+t3)12 and g (x) is the inverse of f, then the value of g"(x)g2(x) is

A
32
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
23
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
13
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 32
f(x)=x0(1+t3)12dti.e.f[g(x)]=g(x)0(1+t3)12dti.e.x=g(x)0(1+t3)12dt [g is inverse of f f[g(x)] = x]
Differentiating again with respect to x, we have
2gg"=3g2g
gives g"g2=32

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 5
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon