Question

71. If y=logyx then dy/dx​

Answer 1

Answer:

71. If y=logyx then dy/dx

Step-by-step explanation:

Given,

x=y(logxy)

or, x=y{logx+logy}

Now differentiate both sides with respect to x we get,

1=

x

y

+

dx

dy

+{logxy}

dx

dy

or,

x

x−y

=(1+logxy)

dx

dy

or,

dx

dy

=

x(1+logxy)

x−y