f^{''}(x)=x^{1/14}

解

f^{^{''}} (x) = x^{\frac{1}{14}}

f (x) = \frac{196}{435} x^{\frac{29}{14}} + c_{1} x + c_{2}

解答ステップ

f^{''} (x) = x^{\frac{1}{14}}

解く

f^{''} (x) = x^{\frac{1}{14}} : f^{'} (x) = \frac{14}{15} x^{\frac{15}{14}} + c_{1}

解く

f^{'} (x) = \frac{14}{15} x^{\frac{15}{14}} + c_{1} : f (x) = \frac{196}{435} x^{\frac{29}{14}} + c_{1} x + c_{2}

f (x) = \frac{196}{435} x^{\frac{29}{14}} + c_{1} x + c_{2}