find dy/dx of the following:
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hii...
Step-by-step explanation:
given here x^y=e^(x-y).
taking log both sides ....
then...
y log( x)= (X-y) log(e).=(X-y)
. because [ log e =1.]
so...
y= x/(1+log x)
differentiate both sides with respect to x....
then..
day/dx= [(1+log)- x(0+1/x)]/(1+log x)^2.
dy/dx=log x /(log e + log x)^2
___answer will be ______________________
dy/dx= log x/(log ex)^2.
_________________________
because (log xy=log x+log y).
i hopes its helps u.
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