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

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

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(\partial)/(\partial x)(x^3ln(yz))

\frac{\partial}{\partial x} (x^{3} ln (yz))

3 x^{2} ln (yz)

Solution steps

\frac{\partial}{\partial x} (x^{3} ln (yz))

Treat

y, z

as constants

Take the constant out:

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

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

Apply the Power Rule:

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

= ln (yz) \cdot 3 x^{3 - 1}

Simplify

= 3 x^{2} ln (yz)

\int x x - 12 d x

x \frac{d v}{d x} = \frac{2}{v} + v

\frac{d y}{d x} = 2 y + x (e^{3 x} - e^{2 x})

\int_{0}^{π} π (sin (x))^{2} d x

e^{- t} - e^{- 2 t}

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