What is the derivative of (ln(4x)^2) ?

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

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

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

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العربية

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

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

Solution steps

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

Apply the chain rule:

2 ln (4 x) \frac{d}{d x} (ln (4 x))

= 2 ln (4 x) \frac{d}{d x} (ln (4 x))

\frac{d}{d x} (ln (4 x)) = \frac{1}{x}

= 2 ln (4 x) \frac{1}{x}

Simplify

2 ln (4 x) \frac{1}{x} : \frac{2 ln ( 4 x )}{x}

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

\frac{d}{d x} (csc^{7} (x))

\int \frac{x + 2}{( x ^{2} + 2 x + 10 ) ^{\frac{5}{2}}} d x

0 = 2 x + 1 - 2 y y^{^{'}}, y (- 2) = - 1

\frac{d}{d x} (sin (2 \cdot x))

\frac{d}{d x} (5 + cos (x^{2}))

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