What is implicit (dy)/(dx),e^xy=8 ?

The answer to implicit (dy)/(dx),e^xy=8 is (dy)/(dx)=-y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

implicit (dy)/(dx),e^xy=8

implicit derivative

\frac{d y}{d x}, e^{x} y = 8

\frac{d y}{d x} = - y

Solution steps

e^{x} y = 8

Treat

y

y (x)

Differentiate both sides:

e^{x} y + \frac{d y}{d x} e^{x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - y

\frac{d y}{d x} = - y

\int sin (t) \cdot e^{- s t} d t

y^{^{'}} = \frac{( x ^{2} y + y ^{3} )}{x ^{3}}

\int_{1}^{5} \frac{ln ( x )}{x ^{3}} d x

\int x + 0.5 d x

\frac{1}{1 - x}, - 1

What is implicit (dy)/(dx),e^xy=8 ?
The answer to implicit (dy)/(dx),e^xy=8 is (dy)/(dx)=-y