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

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

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

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

\frac{2}{x}

Solution steps

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

Apply the chain rule:

\frac{1}{x ^{2}} \frac{\partial}{\partial x} (x^{2})

= \frac{1}{x ^{2}} \frac{\partial}{\partial x} (x^{2})

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

= \frac{1}{x ^{2}} \cdot 2 x

Simplify

\frac{1}{x ^{2}} \cdot 2 x : \frac{2}{x}

= \frac{2}{x}

\int - 2 cos (t) d t

\frac{d}{d x} ((3 x + 5)^{3} - 5 x)

\frac{\partial}{\partial x} (x e^{(\frac{y}{x})})

\int \frac{1}{cos ^{2} ( b ) x} d x

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