What is (\partial)/(\partial x)(e^{-x}sin(2y)) ?

The answer to (\partial)/(\partial x)(e^{-x}sin(2y)) is -e^{-x}sin(2y)

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(2y))

\frac{\partial}{\partial x} (e^{- x} sin (2 y))

- e^{- x} sin (2 y)

Solution steps

\frac{\partial}{\partial x} (e^{- x} sin (2 y))

Treat

y

as a constant

Take the constant out:

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

= sin (2 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 (2 y) e^{- x} (- 1)

Simplify

= - e^{- x} sin (2 y)

\frac{\partial}{\partial y} (e^{x y z^{5}} y z^{5})

\frac{d}{d x} (x + cos (x^{2}))

f (x) = x^{2} + x + 9, at x = 2

\int 5 e^{3 x} d x

h (w) = \frac{( x + 1 ) e ^{x}}{w - 2}

What is (\partial)/(\partial x)(e^{-x}sin(2y)) ?
The answer to (\partial)/(\partial x)(e^{-x}sin(2y)) is -e^{-x}sin(2y)