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

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

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(\partial)/(\partial x)(x^2ln(y))

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

2 x ln (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x ln (y)

\frac{( 3 s + 3 )}{( s ^{2} ( s + 2 ) ^{3} )}

\frac{d P}{d t} + P = 10

f (x) = 8 - x^{3}

cos (x^{- 7})

y^{^{'}} = \frac{3 x + 2 y}{3 x + 2 y + 2}

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