What is (\partial)/(\partial x)(e^{-6y}sin(6x)) ?

The answer to (\partial)/(\partial x)(e^{-6y}sin(6x)) is e^{-6y}cos(6x)*6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(e^{-6y}sin(6x))

\frac{\partial}{\partial x} (e^{- 6 y} sin (6 x))

e^{- 6 y} cos (6 x) \cdot 6

Solution steps

\frac{\partial}{\partial x} (e^{- 6 y} sin (6 x))

Treat

y

as a constant

Take the constant out:

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

= e^{- 6 y} \frac{\partial}{\partial x} (sin (6 x))

Apply the chain rule:

cos (6 x) \frac{\partial}{\partial x} (6 x)

= cos (6 x) \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= e^{- 6 y} cos (6 x) \cdot 6

\frac{d}{d x} (x^{6} ln (x))

\frac{d}{d x} (- 2 cos (x) sin (x) - 2 cos (x))

\int \frac{1}{( x - 2 ) ^{4}} d x

x \to π lim (\frac{tan ( x )}{sin ( 2 x )})

\frac{d}{d x} (x + y + z)

What is (\partial)/(\partial x)(e^{-6y}sin(6x)) ?
The answer to (\partial)/(\partial x)(e^{-6y}sin(6x)) is e^{-6y}cos(6x)*6