What is the derivative of ln^2(8x^2) ?

The derivative of ln^2(8x^2) is (4ln(8x^2))/x

What is the first derivative of ln^2(8x^2) ?

The first derivative of ln^2(8x^2) is (4ln(8x^2))/x

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derivative of

ln^{2} (8 x^{2})

\frac{4 ln ( 8 x ^{2} )}{x}

Solution steps

\frac{d}{d x} (ln^{2} (8 x^{2}))

Apply the chain rule:

2 ln (8 x^{2}) \frac{d}{d x} (ln (8 x^{2}))

= 2 ln (8 x^{2}) \frac{d}{d x} (ln (8 x^{2}))

\frac{d}{d x} (ln (8 x^{2})) = \frac{2}{x}

= 2 ln (8 x^{2}) \frac{2}{x}

Simplify

2 ln (8 x^{2}) \frac{2}{x} : \frac{4 ln ( 8 x ^{2} )}{x}

= \frac{4 ln ( 8 x ^{2} )}{x}

\int \frac{1}{2} ln x^{2} + 1 d x

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

\int sin (3 x) sin (2 x) sin (x) d x

\frac{1}{s + \frac{1}{a}}

x, \frac{1}{x ^{2}}, 2

What is the derivative of ln^2(8x^2) ?
The derivative of ln^2(8x^2) is (4ln(8x^2))/x
What is the first derivative of ln^2(8x^2) ?
The first derivative of ln^2(8x^2) is (4ln(8x^2))/x