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}

\frac{\partial}{\partial x} (- 2 cos (4 x))

\int x^{3} - x^{2} - 2 x d x

\int_{0}^{1} x e^{x^{2}} - e^{x} d x

\int_{0}^{π} cos^{4} (x) d x

\frac{y ^{^{'}}}{x} = 2 x^{2} - y

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