What is (\partial)/(\partial x)(4e^xln(1+y)) ?

The answer to (\partial)/(\partial x)(4e^xln(1+y)) is 4ln(1+y)e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(4e^xln(1+y))

\frac{\partial}{\partial x} (4 e^{x} ln (1 + y))

4 ln (1 + y) e^{x}

Solution steps

\frac{\partial}{\partial x} (4 e^{x} ln (1 + y))

Treat

y

as a constant

Take the constant out:

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

= 4 ln (1 + y) \frac{\partial}{\partial x} (e^{x})

Apply the common derivative:

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

= 4 ln (1 + y) e^{x}

What is (\partial)/(\partial x)(4e^xln(1+y)) ?
The answer to (\partial)/(\partial x)(4e^xln(1+y)) is 4ln(1+y)e^x