What is (d^2)/(dx^2)(sqrt(x^2+49)) ?

The answer to (d^2)/(dx^2)(sqrt(x^2+49)) is (49)/((x^2+49)sqrt(x^2+49))

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(d^2)/(dx^2)(sqrt(x^2+49))

\frac{d ^{2}}{d x ^{2}} (x^{2} + 49)

\frac{49}{( x ^{2} + 49 ) x ^{2} + 49}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x^{2} + 49)

\frac{d}{d x} (x^{2} + 49) = \frac{x}{x ^{2} + 49}

= \frac{d}{d x} (\frac{x}{x ^{2} + 49})

\frac{d}{d x} (\frac{x}{x ^{2} + 49}) = \frac{49}{( x ^{2} + 49 ) x ^{2} + 49}

= \frac{49}{( x ^{2} + 49 ) x ^{2} + 49}

What is (d^2)/(dx^2)(sqrt(x^2+49)) ?
The answer to (d^2)/(dx^2)(sqrt(x^2+49)) is (49)/((x^2+49)sqrt(x^2+49))