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

If f(0)=0,f′(0)=2 then the derivative of y=f(f(f(f(x))) at x = 0 is


A

2

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

8

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

16

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

4

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

The correct option is C

16


y(x)=f(f(f(f(x))).f(f(f(x))).f(f(x)).f(x)
so y(0)=f(f(f(f(0))).f(f(f(0))).f(f(0)).f(0)
=(f(0))4=24=16


flag
Suggest Corrections
thumbs-up
1
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