What is the derivative of ln(5x^2) ?

The derivative of ln(5x^2) is 2/x

What is the first derivative of ln(5x^2) ?

The first derivative of ln(5x^2) is 2/x

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\frac{d}{d x} (ln (5 x^{2}))

\frac{2}{x}

Solution steps

\frac{d}{d x} (ln (5 x^{2}))

Apply the chain rule:

\frac{1}{5 x ^{2}} \frac{d}{d x} (5 x^{2})

= \frac{1}{5 x ^{2}} \frac{d}{d x} (5 x^{2})

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

= \frac{1}{5 x ^{2}} \cdot 10 x

Simplify

\frac{1}{5 x ^{2}} \cdot 10 x : \frac{2}{x}

= \frac{2}{x}

s l o p e (x^{2} + y^{2})^{2} = 4 x^{2} y

\frac{d}{d x} (3 x^{2} sin (5 x))

\frac{d}{d x} (arctanh (x))

\int 5 x ln (5 x) d x

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

What is the derivative of ln(5x^2) ?
The derivative of ln(5x^2) is 2/x
What is the first derivative of ln(5x^2) ?
The first derivative of ln(5x^2) is 2/x