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Popular Calculus >

(d^2)/(dx^2)f(x)=\sqrt[4]{x^5}-3/(x^2)

Solution

\frac{d ^{2}}{d x ^{2}} f (x) = 4 x^{5} - \frac{3}{x ^{2}}

Solution

f (x) = \frac{16}{117} x^{\frac{13}{4}} + 3 ln (x) + c_{1} x + c_{2}

Solution steps

\frac{d ^{2} f}{d x ^{2}} = 4 x^{5} - \frac{3}{x ^{2}}

Solve

f^{''} (x) = 4 x^{5} - \frac{3}{x ^{2}} : f^{'} (x) = \frac{4}{9} x^{\frac{9}{4}} + \frac{3}{x} + c_{1}

Solve

f^{'} (x) = \frac{4}{9} x^{\frac{9}{4}} + \frac{3}{x} + c_{1} : f (x) = \frac{16}{117} x^{\frac{13}{4}} + 3 ln (x) + c_{1} x + c_{2}

f (x) = \frac{16}{117} x^{\frac{13}{4}} + 3 ln (x) + c_{1} x + c_{2}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (d^2)/(dx^2)f(x)=\sqrt[4]{x^5}-3/(x^2) ?
The solution for (d^2)/(dx^2)f(x)=\sqrt[4]{x^5}-3/(x^2) is f(x)= 16/117 x^{13/4}+3ln(x)+c_{1}x+c_{2}