What is (\partial)/(\partial x)(x^4ln(yz)) ?

The answer to (\partial)/(\partial x)(x^4ln(yz)) is 4x^3ln(yz)

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(\partial)/(\partial x)(x^4ln(yz))

\frac{\partial}{\partial x} (x^{4} ln (yz))

4 x^{3} ln (yz)

Solution steps

\frac{\partial}{\partial x} (x^{4} ln (yz))

Treat

y, z

as constants

Take the constant out:

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

= ln (yz) \frac{\partial}{\partial x} (x^{4})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= ln (yz) \cdot 4 x^{4 - 1}

Simplify

= 4 x^{3} ln (yz)

n = 1 \sum \infty \frac{1}{1 0 ^{n}}

n = 1 \sum \infty (\frac{2}{7}) \cdot n

\int sin^{4} (\frac{x}{2}) cos^{2} (\frac{x}{2}) d x

\int 2 t + 2 d t

n = 0 \sum \infty \frac{- 14}{8}

What is (\partial)/(\partial x)(x^4ln(yz)) ?
The answer to (\partial)/(\partial x)(x^4ln(yz)) is 4x^3ln(yz)