What is (\partial)/(\partial x)(x+e^y) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x+e^y)

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

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 1 + 0

Simplify

= 1

\frac{\partial}{\partial x} (4 x + 8 y - 88)

f (x) = - x^{\frac{2}{3}} (x - 5)

\int 3 (1 - x)^{2} d x

\int x^{\frac{1}{2}} + 6 d x

\int_{0}^{2} x^{3} (2 - x)^{2} d x

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