CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If 2x+2y=2x+y, then the value of dydx at x=y=1 is.

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 1
Given, 2x+2y=2x+y
On differentiating w.r.t. x, we get
2x(log2)+2y(log2)dydx
=2x+y(log2)(1+dydx)
2x+2ydydx=2x+y+2x+y(dydx)
dydx(2y2x+y)=2x+y2x
dydx=2x+y2x2y2x+y
Therefore, (dydx)x=y=1=222222=22=1

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