What is (\partial)/(\partial x)(e^{5xyz-6}) ?

The answer to (\partial)/(\partial x)(e^{5xyz-6}) is e^{5xyz-6}*5yz

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(e^{5xyz-6})

\frac{\partial}{\partial x} (e^{5 x yz - 6})

e^{5 x yz - 6} \cdot 5 yz

Solution steps

\frac{\partial}{\partial x} (e^{5 x yz - 6})

Treat

y, z

as constants

Apply the chain rule:

e^{5 x yz - 6} \frac{\partial}{\partial x} (5 x yz - 6)

= e^{5 x yz - 6} \frac{\partial}{\partial x} (5 x yz - 6)

\frac{\partial}{\partial x} (5 x yz - 6) = 5 yz

= e^{5 x yz - 6} \cdot 5 yz

\int 1 + 3 x^{2} y^{2} d y

\frac{d}{d x} (- 12)

\frac{d ^{2}}{d x ^{2}} ((4 x + 3) (2 x^{2} + 7 x - 1))

t a y l or e^{\frac{- x ^{2}}{2}}

\int cosh (5 x + ln (6)) d x

What is (\partial)/(\partial x)(e^{5xyz-6}) ?
The answer to (\partial)/(\partial x)(e^{5xyz-6}) is e^{5xyz-6}*5yz