What is (d^2)/(dx^2)(\sqrt[5]{(x^2+1)^4}) ?

The answer to (d^2)/(dx^2)(\sqrt[5]{(x^2+1)^4}) is (8(3x^2+5))/(25(x^2+1)^{6/5)}

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(d^2)/(dx^2)(\sqrt[5]{(x^2+1)^4})

\frac{d ^{2}}{d x ^{2}} (5 (x^{2} + 1)^{4})

\frac{8 ( 3 x ^{2} + 5 )}{25 ( x ^{2} + 1 ) ^{\frac{6}{5}}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (5 (x^{2} + 1)^{4})

\frac{d}{d x} (5 (x^{2} + 1)^{4}) = \frac{8 x}{5 ( x ^{2} + 1 ) ^{\frac{1}{5}}}

= \frac{d}{d x} (\frac{8 x}{5 ( x ^{2} + 1 ) ^{\frac{1}{5}}})

\frac{d}{d x} (\frac{8 x}{5 ( x ^{2} + 1 ) ^{\frac{1}{5}}}) = \frac{8 ( 3 x ^{2} + 5 )}{25 ( x ^{2} + 1 ) ^{\frac{6}{5}}}

= \frac{8 ( 3 x ^{2} + 5 )}{25 ( x ^{2} + 1 ) ^{\frac{6}{5}}}

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What is (d^2)/(dx^2)(\sqrt[5]{(x^2+1)^4}) ?
The answer to (d^2)/(dx^2)(\sqrt[5]{(x^2+1)^4}) is (8(3x^2+5))/(25(x^2+1)^{6/5)}