What is (d^2)/(dx^2)(ln(x^2+3x+15)) ?

The answer to (d^2)/(dx^2)(ln(x^2+3x+15)) is (-2x^2-6x+21)/((x^2+3x+15)^2)

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(d^2)/(dx^2)(ln(x^2+3x+15))

\frac{d ^{2}}{d x ^{2}} (ln (x^{2} + 3 x + 15))

\frac{- 2 x ^{2} - 6 x + 21}{( x ^{2} + 3 x + 15 ) ^{2}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (ln (x^{2} + 3 x + 15))

\frac{d}{d x} (ln (x^{2} + 3 x + 15)) = \frac{2 x + 3}{x ^{2} + 3 x + 15}

= \frac{d}{d x} (\frac{2 x + 3}{x ^{2} + 3 x + 15})

\frac{d}{d x} (\frac{2 x + 3}{x ^{2} + 3 x + 15}) = \frac{- 2 x ^{2} - 6 x + 21}{( x ^{2} + 3 x + 15 ) ^{2}}

= \frac{- 2 x ^{2} - 6 x + 21}{( x ^{2} + 3 x + 15 ) ^{2}}

f (x) = 8 ln (x)

\int 3 x^{2} x^{3} - 2 d x

y^{^{'}} + 3 x y - 3 = 0

x \to 1 lim (3 x^{2} - 7 x + 1)

\int_{0}^{1} 2 e^{- 2 x} d x

What is (d^2)/(dx^2)(ln(x^2+3x+15)) ?
The answer to (d^2)/(dx^2)(ln(x^2+3x+15)) is (-2x^2-6x+21)/((x^2+3x+15)^2)