What is the answer to solvefor f,y=f(e^x)e^{f(x)} ?

The answer to solvefor f,y=f(e^x)e^{f(x)} is f= y/(e^{x+f(x))}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor f,y=f(e^x)e^{f(x)}

solve for

f, y = f (e^{x}) e^{f (x)}

f = \frac{y}{e ^{x + f (x)}}

Solution steps

y = f (e^{x}) e^{f (x)}

Switch sides

f e^{x} e^{f (x)} = y

Simplify

(e^{x}) e^{f (x)} : e^{x + f (x)}

f e^{x + f (x)} = y

Divide both sides by

e^{x + f (x)}

f = \frac{y}{e ^{x + f (x)}}

a, b = - 1 - 7 a

6 x + 5 = 17

x - 39 = - 79

x, 5 x + 3 y = 2

\frac{b}{3} + 2 = \frac{b}{5} - \frac{2}{15}

What is the answer to solvefor f,y=f(e^x)e^{f(x)} ?
The answer to solvefor f,y=f(e^x)e^{f(x)} is f= y/(e^{x+f(x))}