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

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

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

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

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derivative of

ln (x^{2} + 2)

\frac{2 x}{x ^{2} + 2}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{x ^{2} + 2} \cdot 2 x

Simplify

\frac{1}{x ^{2} + 2} \cdot 2 x : \frac{2 x}{x ^{2} + 2}

= \frac{2 x}{x ^{2} + 2}

x \to - 5 lim (x + 6)

\frac{d}{d x} (\frac{x cos ( x ) + π}{π - x})

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

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

\frac{d}{d y} (ln (\frac{( 2 y + 1 ) ^{5}}{y ^{2} + 1}))

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