What is (\partial)/(\partial x)((sin(x))/(sin(y))) ?

The answer to (\partial)/(\partial x)((sin(x))/(sin(y))) is cos(x)csc(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)((sin(x))/(sin(y)))

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

cos (x) csc (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

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

= cos (x) csc (y)

\int 3 x - x^{2} d x

d er i v a t i v e (2 x - x) (5 x + 2)

\frac{d}{d t} (3 t)

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

x \to - 3 lim (\frac{x + 1}{x + 3})

What is (\partial)/(\partial x)((sin(x))/(sin(y))) ?
The answer to (\partial)/(\partial x)((sin(x))/(sin(y))) is cos(x)csc(y)