What is (\partial)/(\partial x)(e^{xy+1}) ?

The answer to (\partial)/(\partial x)(e^{xy+1}) is e^{xy+1}y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(e^{xy+1})

\frac{\partial}{\partial x} (e^{x y + 1})

e^{x y + 1} y

Solution steps

\frac{\partial}{\partial x} (e^{x y + 1})

Treat

y

as a constant

Apply the chain rule:

e^{x y + 1} \frac{\partial}{\partial x} (x y + 1)

= e^{x y + 1} \frac{\partial}{\partial x} (x y + 1)

\frac{\partial}{\partial x} (x y + 1) = y

= e^{x y + 1} y

\frac{( 5 x - 2 )}{( x + 1 )}, 4

\frac{d}{d x} ((2 x^{3} - 3) (sin (x) + 2))

3 cos (x), 3 cos (2 x), 0 \leq x \leq π

(1 + y^{2} sin (2 x)) d x - 2 y cos^{2} (x) d y = 0

\frac{d y}{d x} = x y^{3}

What is (\partial)/(\partial x)(e^{xy+1}) ?
The answer to (\partial)/(\partial x)(e^{xy+1}) is e^{xy+1}y