What is (\partial)/(\partial z)(xe^{6y}sin(5z)) ?

The answer to (\partial)/(\partial z)(xe^{6y}sin(5z)) is xe^{6y}cos(5z)*5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial z)(xe^{6y}sin(5z))

\frac{\partial}{\partial z} (x e^{6 y} sin (5 z))

x e^{6 y} cos (5 z) \cdot 5

Solution steps

\frac{\partial}{\partial z} (x e^{6 y} sin (5 z))

Treat

x, y

as constants

Take the constant out:

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

= x e^{6 y} \frac{\partial}{\partial z} (sin (5 z))

Apply the chain rule:

cos (5 z) \frac{\partial}{\partial z} (5 z)

= cos (5 z) \frac{\partial}{\partial z} (5 z)

\frac{\partial}{\partial z} (5 z) = 5

= x e^{6 y} cos (5 z) \cdot 5

\int e^{x^{\frac{1}{2}}} d x

y = (4 x + 3)^{5}

x^{- \frac{1}{3}}

f (x) = x - (x + 6)^{6}

What is (\partial)/(\partial z)(xe^{6y}sin(5z)) ?
The answer to (\partial)/(\partial z)(xe^{6y}sin(5z)) is xe^{6y}cos(5z)*5