What is (d^2)/(dx^2)(sqrt(x^2+21)) ?

The answer to (d^2)/(dx^2)(sqrt(x^2+21)) is (21)/((x^2+21)sqrt(x^2+21))

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(d^2)/(dx^2)(sqrt(x^2+21))

\frac{d ^{2}}{d x ^{2}} (x^{2} + 21)

\frac{21}{( x ^{2} + 21 ) x ^{2} + 21}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x^{2} + 21)

\frac{d}{d x} (x^{2} + 21) = \frac{x}{x ^{2} + 21}

= \frac{d}{d x} (\frac{x}{x ^{2} + 21})

\frac{d}{d x} (\frac{x}{x ^{2} + 21}) = \frac{21}{( x ^{2} + 21 ) x ^{2} + 21}

= \frac{21}{( x ^{2} + 21 ) x ^{2} + 21}

What is (d^2)/(dx^2)(sqrt(x^2+21)) ?
The answer to (d^2)/(dx^2)(sqrt(x^2+21)) is (21)/((x^2+21)sqrt(x^2+21))