What is (d^2)/(dx^2)(sqrt(x)e^{7x}) ?

The answer to (d^2)/(dx^2)(sqrt(x)e^{7x}) is (196e^{7x}x^2+28e^{7x}x-e^{7x})/(4xsqrt(x))

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(d^2)/(dx^2)(sqrt(x)e^{7x})

\frac{d ^{2}}{d x ^{2}} (x e^{7 x})

\frac{196 e ^{7 x} x ^{2} + 28 e ^{7 x} x - e ^{7 x}}{4 x x}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x e^{7 x})

\frac{d}{d x} (x e^{7 x}) = \frac{e ^{7 x}}{2 x} + 7 e^{7 x} x

= \frac{d}{d x} (\frac{e ^{7 x}}{2 x} + 7 e^{7 x} x)

\frac{d}{d x} (\frac{e ^{7 x}}{2 x} + 7 e^{7 x} x) = \frac{196 e ^{7 x} x ^{2} + 28 e ^{7 x} x - e ^{7 x}}{4 x x}

= \frac{196 e ^{7 x} x ^{2} + 28 e ^{7 x} x - e ^{7 x}}{4 x x}

\int \frac{5 x ^{2}}{x ^{2} - 4} d x

\int \frac{2 s + 2}{( s ^{2} + 1 ) ( s - 1 ) ^{3}} d s

n = 1 \sum \infty 0.4 5^{n}

- 2 x^{2} + 20, 3 x - 15

x \to + 2 lim (2 x - 2)

What is (d^2)/(dx^2)(sqrt(x)e^{7x}) ?
The answer to (d^2)/(dx^2)(sqrt(x)e^{7x}) is (196e^{7x}x^2+28e^{7x}x-e^{7x})/(4xsqrt(x))