CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

If xmyn=(x+y)m+n, then the value of dydx is

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

The correct option is C yx
xmyn=(x+y)m+nTaking log both sides, we getm log x+n log y=(m+n) log (x+y)Differentiating both sides w.r.t. x, we getmx+nydydx=(m+n)(x+y)(1+dydx)(nym+nx+y}dydx=m+nx+ymx(nx+nymynyy(x+y)}dydx=(mx+nxmxmy(x+y)x}nxmyy(x+y)dydx=nxmyx(x+y)dydx=yx

flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
similar_icon
Related Videos
thumbnail
lock
States of Matter
MATHEMATICS
Watch in App