What is (d^2)/(dx^2)(x^{8/9}+6x) ?

The answer to (d^2)/(dx^2)(x^{8/9}+6x) is -8/(81x^{10/9)}

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(d^2)/(dx^2)(x^{8/9}+6x)

\frac{d ^{2}}{d x ^{2}} (x^{\frac{8}{9}} + 6 x)

- \frac{8}{81 x ^{\frac{10}{9}}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x^{\frac{8}{9}} + 6 x)

\frac{d}{d x} (x^{\frac{8}{9}} + 6 x) = \frac{8}{9 x ^{\frac{1}{9}}} + 6

= \frac{d}{d x} (\frac{8}{9 x ^{\frac{1}{9}}} + 6)

\frac{d}{d x} (\frac{8}{9 x ^{\frac{1}{9}}} + 6) = - \frac{8}{81 x ^{\frac{10}{9}}}

= - \frac{8}{81 x ^{\frac{10}{9}}}

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What is (d^2)/(dx^2)(x^{8/9}+6x) ?
The answer to (d^2)/(dx^2)(x^{8/9}+6x) is -8/(81x^{10/9)}