What is (\partial)/(\partial x)(yze^{xz}+30) ?

The answer to (\partial)/(\partial x)(yze^{xz}+30) is e^{zx}yz^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(yze^{xz}+30)

\frac{\partial}{\partial x} (yz e^{x z} + 30)

e^{z x} y z^{2}

Solution steps

\frac{\partial}{\partial x} (yz e^{x z} + 30)

Treat

y, z

as constants

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (yz e^{x z}) + \frac{\partial}{\partial x} (30)

\frac{\partial}{\partial x} (yz e^{x z}) = y z^{2} e^{z x}

\frac{\partial}{\partial x} (30) = 0

= y z^{2} e^{z x} + 0

Simplify

= e^{z x} y z^{2}

\frac{d}{d x} (cos^{2} (x^{7}))

\int sin (8 x) sin (3 x) d x

x \to 1 - lim (4 - x^{2})

\int \frac{33 x}{x ^{2} + 8 x + 7} d x

\int 8 x^{2} 4 4 + 4 x^{3} d x

What is (\partial)/(\partial x)(yze^{xz}+30) ?
The answer to (\partial)/(\partial x)(yze^{xz}+30) is e^{zx}yz^2