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

f(x) = {kx2+5 if x2mx+2 if 2<x
If the given function is differentiable everywhere, then find the value of
k+m

A
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
85
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 2
As the function is differentiable everywhere
It is continuous at all points.
LHS=RHL
k4+5=m(2)+2
3k=2m+2.............(1)

As the function is differentiable
LHD=RHD
2k3=m
2k=3m.......................(2)

Using (1) and (2),
k=65and m=45,
k+m=2.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Inverse of a Function
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon