What is (d^3)/(dx^3)(x^6e^x) ?

The answer to (d^3)/(dx^3)(x^6e^x) is e^xx^6+18e^xx^5+90e^xx^4+120e^xx^3

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(d^3)/(dx^3)(x^6e^x)

\frac{d ^{3}}{d x ^{3}} (x^{6} e^{x})

e^{x} x^{6} + 18 e^{x} x^{5} + 90 e^{x} x^{4} + 120 e^{x} x^{3}

Solution steps

\frac{d ^{3}}{d x ^{3}} (x^{6} e^{x})

\frac{d}{d x} (x^{6} e^{x}) = 6 x^{5} e^{x} + e^{x} x^{6}

= \frac{d ^{2}}{d x ^{2}} (6 x^{5} e^{x} + e^{x} x^{6})

\frac{d}{d x} (6 x^{5} e^{x} + e^{x} x^{6}) = e^{x} x^{6} + 12 e^{x} x^{5} + 30 e^{x} x^{4}

= \frac{d}{d x} (e^{x} x^{6} + 12 e^{x} x^{5} + 30 e^{x} x^{4})

\frac{d}{d x} (e^{x} x^{6} + 12 e^{x} x^{5} + 30 e^{x} x^{4}) = e^{x} x^{6} + 18 e^{x} x^{5} + 90 e^{x} x^{4} + 120 e^{x} x^{3}

= e^{x} x^{6} + 18 e^{x} x^{5} + 90 e^{x} x^{4} + 120 e^{x} x^{3}

f (x) = \frac{6 x + 5}{x - 1}, at x = 2

t \to 2 lim (\frac{t - 2}{t ^{2} - 4})

\int 19 tan^{2} (x) sec^{3} (x) d x

\frac{\partial}{\partial x} (4 x^{3} + 2 x y + 1)

\int x^{2} csc^{2} (x^{3}) d x

What is (d^3)/(dx^3)(x^6e^x) ?
The answer to (d^3)/(dx^3)(x^6e^x) is e^xx^6+18e^xx^5+90e^xx^4+120e^xx^3