What is (d^2)/(dx^2)(x^2sin(sqrt(x))) ?

The answer to (d^2)/(dx^2)(x^2sin(sqrt(x))) is (-xsin(sqrt(x))+7sqrt(x)cos(sqrt(x))+8sin(sqrt(x)))/4

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(d^2)/(dx^2)(x^2sin(sqrt(x)))

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

\frac{- x sin ( x ) + 7 x cos ( x ) + 8 sin ( x )}{4}

Solution steps

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

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

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

\frac{d}{d x} (2 x sin (x) + \frac{x ^{\frac{3}{2}} cos ( x )}{2}) = \frac{- x sin ( x ) + 7 x cos ( x ) + 8 sin ( x )}{4}

= \frac{- x sin ( x ) + 7 x cos ( x ) + 8 sin ( x )}{4}

\int \frac{1}{( x + y ) ^{2}} d x

n = 1 \sum \infty (- 1)^{n + 1}

\frac{t ^{4} + t ^{5} - 1}{t ^{6}}

\int (4 x + 1)^{6} d x

y^{3} - (18 x + 8) + 3 x y^{2} y^{^{'}} = 0

What is (d^2)/(dx^2)(x^2sin(sqrt(x))) ?
The answer to (d^2)/(dx^2)(x^2sin(sqrt(x))) is (-xsin(sqrt(x))+7sqrt(x)cos(sqrt(x))+8sin(sqrt(x)))/4