What is (\partial)/(\partial x)(400e^{xy}) ?

The answer to (\partial)/(\partial x)(400e^{xy}) is 400e^{xy}y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(400e^{xy})

\frac{\partial}{\partial x} (400 e^{x y})

400 e^{x y} y

Solution steps

\frac{\partial}{\partial x} (400 e^{x y})

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 400 \frac{\partial}{\partial x} (e^{x y})

Apply the chain rule:

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

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

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

= 400 e^{x y} y

n = 1 \sum \infty n sin (n)

n = 1 \sum \infty \frac{5}{3 ^{2 n}}

y = 3 x^{3} - x^{2} + 6 x + 4

\int 2 x + 1 d x

(8 x^{3} + 2 x^{2})^{4}

What is (\partial)/(\partial x)(400e^{xy}) ?
The answer to (\partial)/(\partial x)(400e^{xy}) is 400e^{xy}y