What is the derivative of (log_{e}(x)^2) ?

The derivative of (log_{e}(x)^2) is (2ln(x))/x

What is the first derivative of (log_{e}(x)^2) ?

The first derivative of (log_{e}(x)^2) is (2ln(x))/x

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Popular >

\frac{d}{d x} ((lo g_{e} (x))^{2})

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

Solution steps

\frac{d}{d x} ((lo g_{e} (x))^{2})

Simplify

(lo g_{e} (x))^{2} : ln^{2} (x)

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

Apply the chain rule:

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

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

\frac{d}{d 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}

\int 70 sin^{4} (x) cos^{3} (x) d x

\int_{1}^{2} 4 x^{2} d x

x \to 5 - lim (f (x))

\frac{d}{d x} (ln (\frac{x ^{3} - 4}{x}))

x \to 0 lim (\frac{ln ( x )}{x + 1})

What is the derivative of (log_{e}(x)^2) ?
The derivative of (log_{e}(x)^2) is (2ln(x))/x
What is the first derivative of (log_{e}(x)^2) ?
The first derivative of (log_{e}(x)^2) is (2ln(x))/x