What is (d^2)/(dx^2)(xsqrt(x^2+1)) ?

The answer to (d^2)/(dx^2)(xsqrt(x^2+1)) is (2x^3+3x)/((x^2+1)sqrt(x^2+1))

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(d^2)/(dx^2)(xsqrt(x^2+1))

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

\frac{2 x ^{3} + 3 x}{( x ^{2} + 1 ) x ^{2} + 1}

Solution steps

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

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

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

\frac{d}{d x} (\frac{2 x ^{2} + 1}{x ^{2} + 1}) = \frac{2 x ^{3} + 3 x}{( x ^{2} + 1 ) x ^{2} + 1}

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

\int 2 x^{\frac{1}{4}} - 3 x^{3} d x

\frac{d}{d θ} (14 sin (θ))

\frac{d y}{d x} = 2 x e^{- y}

\int \frac{1}{a - b y} d y

y^{^{'}} = y (7 - y) - \frac{49}{4}, y (0) = a

What is (d^2)/(dx^2)(xsqrt(x^2+1)) ?
The answer to (d^2)/(dx^2)(xsqrt(x^2+1)) is (2x^3+3x)/((x^2+1)sqrt(x^2+1))