What is (\partial)/(\partial y)(x^2+e^{xy}) ?

The answer to (\partial)/(\partial y)(x^2+e^{xy}) is e^{xy}x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(x^2+e^{xy})

\frac{\partial}{\partial y} (x^{2} + e^{x y})

e^{x y} x

Solution steps

\frac{\partial}{\partial y} (x^{2} + e^{x y})

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (x^{2}) + \frac{\partial}{\partial y} (e^{x y})

\frac{\partial}{\partial y} (x^{2}) = 0

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

= 0 + e^{x y} x

Simplify

= e^{x y} x

y = csc^{1} (e^{8 t})

\int (x^{3} - 7 x) d x

\frac{\partial}{\partial x} (ln (x^{2} u))

f (x) = (2 x + 3)^{6} (x - 2)^{4}

\int x + π d x

What is (\partial)/(\partial y)(x^2+e^{xy}) ?
The answer to (\partial)/(\partial y)(x^2+e^{xy}) is e^{xy}x