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Popular >

(d^2)/(dx^2)(x^2e^x)

Solution

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

Solution

e^{x} x^{2} + 4 e^{x} x + 2 e^{x}

Solution steps

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

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

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

\frac{d}{d x} (2 x e^{x} + e^{x} x^{2}) = e^{x} x^{2} + 4 e^{x} x + 2 e^{x}

= e^{x} x^{2} + 4 e^{x} x + 2 e^{x}

Popular Examples

sum from n=0 to infinity of-3^n

n = 0 \sum \infty - 3^{n}

tangent of 7/(sqrt(x))tangent of

\frac{7}{x}

integral of 1/(sqrt(-x^2+4x-1))

\int \frac{1}{- x ^{2} + 4 x - 1} d x

tangent of y=x^2-12x+4 tangent of

y = x^{2} - 12 x + 4

integral of e^tsin(3t)

\int e^{t} sin (3 t) d t

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(x^2e^x) ?
The answer to (d^2)/(dx^2)(x^2e^x) is e^xx^2+4e^xx+2e^x