What is (d^2}{dx^2}(\frac{sin(x))/x) ?

The answer to (d^2}{dx^2}(\frac{sin(x))/x) is -(x^2sin(x)+2(xcos(x)-sin(x)))/(x^3)

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(d^2}{dx^2}(\frac{sin(x))/x)

\frac{d ^{2}}{d x ^{2}} (\frac{sin ( x )}{x})

- \frac{x ^{2} sin ( x ) + 2 ( x cos ( x ) - sin ( x ) )}{x ^{3}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{sin ( x )}{x})

\frac{d}{d x} (\frac{sin ( x )}{x}) = \frac{x cos ( x ) - sin ( x )}{x ^{2}}

= \frac{d}{d x} (\frac{x cos ( x ) - sin ( x )}{x ^{2}})

\frac{d}{d x} (\frac{x cos ( x ) - sin ( x )}{x ^{2}}) = - \frac{x ^{2} sin ( x ) + 2 ( x cos ( x ) - sin ( x ) )}{x ^{3}}

= - \frac{x ^{2} sin ( x ) + 2 ( x cos ( x ) - sin ( x ) )}{x ^{3}}

y^{^{''}} + 8 y^{^{'}} + 16 y = 0, y (0) = - 4, y^{^{'}} (0) = 21

\frac{d ^{2}}{d x ^{2}} (x (3 x + 2)^{5})

y = \frac{x}{x ^{2} + 5}

\frac{\partial}{\partial x} (1 - y)

\frac{\partial}{\partial x} (\frac{a}{ln ( x ) - c})

What is (d^2}{dx^2}(\frac{sin(x))/x) ?
The answer to (d^2}{dx^2}(\frac{sin(x))/x) is -(x^2sin(x)+2(xcos(x)-sin(x)))/(x^3)