What is the derivative of ln(sqrt(9-2x^2)) ?

The derivative of ln(sqrt(9-2x^2)) is -(2x)/(9-2x^2)

What is the first derivative of ln(sqrt(9-2x^2)) ?

The first derivative of ln(sqrt(9-2x^2)) is -(2x)/(9-2x^2)

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\frac{d}{d x} (ln (9 - 2 x^{2}))

- \frac{2 x}{9 - 2 x ^{2}}

Solution steps

\frac{d}{d x} (ln (9 - 2 x^{2}))

Apply the chain rule:

\frac{1}{9 - 2 x ^{2}} \frac{d}{d x} (9 - 2 x^{2})

= \frac{1}{9 - 2 x ^{2}} \frac{d}{d x} (9 - 2 x^{2})

\frac{d}{d x} (9 - 2 x^{2}) = - \frac{2 x}{9 - 2 x ^{2}}

= \frac{1}{9 - 2 x ^{2}} (- \frac{2 x}{9 - 2 x ^{2}})

Simplify

\frac{1}{9 - 2 x ^{2}} (- \frac{2 x}{9 - 2 x ^{2}}) : - \frac{2 x}{9 - 2 x ^{2}}

= - \frac{2 x}{9 - 2 x ^{2}}

\int e^{5 t} d t

arctan (4 x)

\int \frac{2}{8 - 5 x} d x

f (x) = x^{\frac{1}{2}} (x^{2} - x + 3), at x = 1

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

What is the derivative of ln(sqrt(9-2x^2)) ?
The derivative of ln(sqrt(9-2x^2)) is -(2x)/(9-2x^2)
What is the first derivative of ln(sqrt(9-2x^2)) ?
The first derivative of ln(sqrt(9-2x^2)) is -(2x)/(9-2x^2)