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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (ln (x)) = \frac{1}{x}

= 2 ln (x) \frac{1}{x}

Simplify

2 ln (x) \frac{1}{x} : \frac{2 ln ( x )}{x}

= \frac{2 ln ( x )}{x}

x, at x = 144

\int \frac{x ^{3} + x ^{2} - x ^{5}}{x ^{6}} d x

\frac{d}{d x} (\frac{1}{4} (x^{4} + 8))

g (x) = 3 x^{4} - 140 x^{3}

\int \frac{1}{t} d t

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