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Popular >

(d^2)/(dx^2)f(x)= 7/(sqrt(x+4)),\at x=0

Solution

\frac{d ^{2}}{d x ^{2}} f (x) = \frac{7}{x + 4}, at x = 0

Solution

f (x) = \frac{28}{3} (x + 4)^{\frac{3}{2}} + c_{1} x + c_{2}

Solution steps

\frac{d ^{2} f}{d x ^{2}} = \frac{7}{x + 4}

Solve

f^{''} (x) = \frac{7}{x + 4} : f^{'} (x) = 14 x + 4 + c_{1}

Solve

f^{'} (x) = 14 x + 4 + c_{1} : f (x) = \frac{28}{3} (x + 4)^{\frac{3}{2}} + c_{1} x + c_{2}

f (x) = \frac{28}{3} (x + 4)^{\frac{3}{2}} + c_{1} x + c_{2}

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Frequently Asked Questions (FAQ)

What is the solution for (d^2)/(dx^2)f(x)= 7/(sqrt(x+4)),\at x=0 ?
The solution for (d^2)/(dx^2)f(x)= 7/(sqrt(x+4)),\at x=0 is f(x)= 28/3 (x+4)^{3/2}+c_{1}x+c_{2}