If xy-ex-y- then d y-d x- is equal to

The correct option is D In x(1 + ln x)^ 2Since, x^y = e^x y ⇒ yln x = x y ∴ y = x/1 + In x ∴dy/dx = In x/(1 + In x)^2 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Integrating Factor

If xy=ex-y, t...

Question

If $x^{y} = e^{x - y}$ , then $\frac{d y}{d x}$ = is equal to

(1 + l n x)^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(1 + l n x)^{- 2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

I n x (1 + l n x)^{- 2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

n o n e o f t h e s e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

x^{y} = e^{x - y}

\frac{d y}{d x}

x^{y} = e^{x - y}

\frac{d y}{d x}

i f x^{y} = e^{x - y}, t h e n \frac{d y}{d x}

x^{y} = e^{x - y}

\frac{d y}{d x} =

x^{y} = e^{x + y}

\frac{d y}{d x}

x = 1

Join BYJU'S Learning Program