What is (\partial)/(\partial x)(x^3z+yz) ?

The answer to (\partial)/(\partial x)(x^3z+yz) is 3x^2z

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x^3z+yz)

\frac{\partial}{\partial x} (x^{3} z + yz)

3 x^{2} z

Solution steps

\frac{\partial}{\partial x} (x^{3} z + yz)

Treat

z, y

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{3} z) + \frac{\partial}{\partial x} (yz)

\frac{\partial}{\partial x} (x^{3} z) = 3 z x^{2}

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

= 3 z x^{2} + 0

Simplify

= 3 x^{2} z

\frac{d}{d x} (\frac{1}{( 2 x + 1 ) ^{2}})

\frac{d}{d x} (\frac{8}{2 x})

\frac{\partial}{\partial y} (e^{c o s (x - 2 y)})

\frac{d}{d x} (ln (1 - 8 x))

What is (\partial)/(\partial x)(x^3z+yz) ?
The answer to (\partial)/(\partial x)(x^3z+yz) is 3x^2z