What is (\partial)/(\partial x)(ln(xcos(y))) ?

The answer to (\partial)/(\partial x)(ln(xcos(y))) 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)(ln(xcos(y)))

\frac{\partial}{\partial x} (ln (x cos (y)))

\frac{1}{x}

Solution steps

\frac{\partial}{\partial x} (ln (x cos (y)))

Treat

y

as a constant

Apply the chain rule:

\frac{1}{x cos ( y )} \frac{\partial}{\partial x} (x cos (y))

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

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

= \frac{1}{x cos ( y )} cos (y)

Simplify

\frac{1}{x cos ( y )} cos (y) : \frac{1}{x}

= \frac{1}{x}

\int 3 t^{2} sin (t^{3}) d t

\frac{d}{d x} ((x)^{3})

\int_{1}^{2} 8 r^{4} ln (r) d r

y^{^{'''}} + y^{^{''}} - 2 = 0

What is (\partial)/(\partial x)(ln(xcos(y))) ?
The answer to (\partial)/(\partial x)(ln(xcos(y))) is 1/x