What is the derivative of ln(6x^2) ?

The derivative of ln(6x^2) is 2/x

What is the first derivative of ln(6x^2) ?

The first derivative of ln(6x^2) is 2/x

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\frac{d}{d x} (ln (6 x^{2}))

\frac{2}{x}

Solution steps

\frac{d}{d x} (ln (6 x^{2}))

Apply the chain rule:

\frac{1}{6 x ^{2}} \frac{d}{d x} (6 x^{2})

= \frac{1}{6 x ^{2}} \frac{d}{d x} (6 x^{2})

\frac{d}{d x} (6 x^{2}) = 12 x

= \frac{1}{6 x ^{2}} \cdot 12 x

Simplify

\frac{1}{6 x ^{2}} \cdot 12 x : \frac{2}{x}

= \frac{2}{x}

t y^{^{'}} + 3 y = 0

\frac{\partial}{\partial y} (z ln (y) + e^{2})

\frac{d}{d x} (- x e^{\frac{y}{x}})

\int_{0}^{\frac{π}{2}} cot (x) d x

x \to 0 lim ((1 + 8 x)^{\frac{6}{x}})

What is the derivative of ln(6x^2) ?
The derivative of ln(6x^2) is 2/x
What is the first derivative of ln(6x^2) ?
The first derivative of ln(6x^2) is 2/x