What is (\partial)/(\partial x)(1/2 ln(x^2d)) ?

The answer to (\partial)/(\partial x)(1/2 ln(x^2d)) is 1/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(1/2 ln(x^2d))

\frac{\partial}{\partial x} (\frac{1}{2} ln (x^{2} d))

\frac{1}{x}

Solution steps

\frac{\partial}{\partial x} (\frac{1}{2} ln (x^{2} d))

Treat

d

as a constant

Take the constant out:

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

= \frac{1}{2} \frac{\partial}{\partial x} (ln (x^{2} d))

Apply the chain rule:

\frac{1}{x ^{2} d} \frac{\partial}{\partial x} (x^{2} d)

= \frac{1}{x ^{2} d} \frac{\partial}{\partial x} (x^{2} d)

\frac{\partial}{\partial x} (x^{2} d) = 2 d x

= \frac{1}{2} \cdot \frac{1}{x ^{2} d} \cdot 2 d x

Simplify

\frac{1}{2} \cdot \frac{1}{x ^{2} d} \cdot 2 d x : \frac{1}{x}

= \frac{1}{x}

\frac{d}{d x} (csc (x))

\int 15 cos (15 x) d x

f (x) = 9 x - 10 x^{\frac{1}{4}}

\int \frac{1}{cos ( y )} d y

\int_{0}^{0.75} 2 x d x

What is (\partial)/(\partial x)(1/2 ln(x^2d)) ?
The answer to (\partial)/(\partial x)(1/2 ln(x^2d)) is 1/x