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Popular >

derivative of ln((x-3)/(x+3))

Solution

derivative of

ln (\frac{x - 3}{x + 3})

Solution

\frac{6}{( x - 3 ) ( x + 3 )}

Solution steps

\frac{d}{d x} (ln (\frac{x - 3}{x + 3}))

Apply the chain rule:

\frac{1}{\frac{x - 3}{x + 3}} \frac{d}{d x} (\frac{x - 3}{x + 3})

= \frac{1}{\frac{x - 3}{x + 3}} \frac{d}{d x} (\frac{x - 3}{x + 3})

\frac{d}{d x} (\frac{x - 3}{x + 3}) = \frac{6}{( x + 3 ) ^{2}}

= \frac{1}{\frac{x - 3}{x + 3}} \cdot \frac{6}{( x + 3 ) ^{2}}

Simplify

\frac{1}{\frac{x - 3}{x + 3}} \cdot \frac{6}{( x + 3 ) ^{2}} : \frac{6}{( x - 3 ) ( x + 3 )}

= \frac{6}{( x - 3 ) ( x + 3 )}

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\int_{0}^{27} \frac{3}{x ^{\frac{2}{3}}} d x

derivative of 11e^{x^2}derivative of

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\int - 1 (x - 4) d x

Frequently Asked Questions (FAQ)

What is the derivative of ln((x-3)/(x+3)) ?
The derivative of ln((x-3)/(x+3)) is 6/((x-3)(x+3))
What is the first derivative of ln((x-3)/(x+3)) ?
The first derivative of ln((x-3)/(x+3)) is 6/((x-3)(x+3))