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

The answer to (d^2)/(dx^2)(sqrt(x)+\sqrt[4]{x}) is -1/(4x^{3/2)}-3/(16x^{7/4)}

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

- \frac{1}{4 x ^{\frac{3}{2}}} - \frac{3}{16 x ^{\frac{7}{4}}}

Solution steps

= \frac{d}{d x} (\frac{1}{2 x} + \frac{1}{4 x ^{\frac{3}{4}}})

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{4 x ^{\frac{3}{4}}}) = - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{3}{16 x ^{\frac{7}{4}}}

= - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{3}{16 x ^{\frac{7}{4}}}

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What is (d^2)/(dx^2)(sqrt(x)+\sqrt[4]{x}) ?
The answer to (d^2)/(dx^2)(sqrt(x)+\sqrt[4]{x}) is -1/(4x^{3/2)}-3/(16x^{7/4)}