What is (\partial)/(\partial x)(e^{-x}sin(y)) ?

The answer to (\partial)/(\partial x)(e^{-x}sin(y)) is -e^{-x}sin(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(e^{-x}sin(y))

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

- e^{- x} sin (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= sin (y) \frac{\partial}{\partial x} (e^{- x})

Apply the chain rule:

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

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

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

= sin (y) e^{- x} (- 1)

Simplify

= - e^{- x} sin (y)

\frac{\partial}{\partial x} (6 y^{8} x^{5} + 49 y x^{6})

y^{^{'}} = 8 + 2 x - 3 x^{2}

arcsec (x)

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 12 x)

f (x) = x - 3 x^{\frac{1}{3}}

What is (\partial)/(\partial x)(e^{-x}sin(y)) ?
The answer to (\partial)/(\partial x)(e^{-x}sin(y)) is -e^{-x}sin(y)