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

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

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

- e^{- x} tan (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= tan (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

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

Simplify

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

e^{- 2 t} sin (3 π t)

\frac{d y}{d x} + 2 y = 50

\frac{d}{d t} (6 sin^{3} (t))

\frac{d ^{2}}{d x ^{2}} (\frac{5}{6 t ^{4}})

\frac{d y}{d x} = \frac{( x + y ) ^{2}}{2 x ^{2}}

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