What is (\partial)/(\partial x)(x^2ln(3y-5)) ?

The answer to (\partial)/(\partial x)(x^2ln(3y-5)) is 2xln(3y-5)

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(\partial)/(\partial x)(x^2ln(3y-5))

\frac{\partial}{\partial x} (x^{2} ln (3 y - 5))

2 x ln (3 y - 5)

Solution steps

\frac{\partial}{\partial x} (x^{2} ln (3 y - 5))

Treat

y

as a constant

Take the constant out:

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

= ln (3 y - 5) \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= ln (3 y - 5) \cdot 2 x^{2 - 1}

Simplify

= 2 x ln (3 y - 5)

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What is (\partial)/(\partial x)(x^2ln(3y-5)) ?
The answer to (\partial)/(\partial x)(x^2ln(3y-5)) is 2xln(3y-5)