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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- cos (y - x)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= cos (y - x) (- 1)

Simplify

= - cos (y - x)

e^{x^{3}}

\int \frac{2 x - 5}{x ^{2} - 10 x + 50} d x

6 t^{3}

x^{2} y^{^{'}} + 2 x y = 17 cos^{2} (x)

(x - 9) e^{x}

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