What is (\partial)/(\partial x)(3xe^x) ?

The answer to (\partial)/(\partial x)(3xe^x) is 3(e^x+e^xx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(3xe^x)

\frac{\partial}{\partial x} (3 x e^{x})

3 (e^{x} + e^{x} x)

Solution steps

\frac{\partial}{\partial x} (3 x e^{x})

Take the constant out:

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

= 3 \frac{\partial}{\partial x} (x e^{x})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = e^{x}

= 3 (\frac{\partial}{\partial x} (x) e^{x} + \frac{\partial}{\partial x} (e^{x}) x)

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

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

= 3 (1 \cdot e^{x} + e^{x} x)

Simplify

= 3 (e^{x} + e^{x} x)

x \to 3 lim (2)

y = (x - 1) (x - 2) (x - 3), [0, 3]

\int cos^{6} (θ) sin (2 θ) d θ

\int x 16 - 4 x^{2} d x

\frac{d}{d x} (5 ln (12 x))

What is (\partial)/(\partial x)(3xe^x) ?
The answer to (\partial)/(\partial x)(3xe^x) is 3(e^x+e^xx)