What is (d^3)/(dx^3)(e^{-x^2}) ?

The answer to (d^3)/(dx^3)(e^{-x^2}) is -2(4e^{-x^2}x^3-6e^{-x^2}x)

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(d^3)/(dx^3)(e^{-x^2})

\frac{d ^{3}}{d x ^{3}} (e^{- x^{2}})

- 2 (4 e^{- x^{2}} x^{3} - 6 e^{- x^{2}} x)

Solution steps

\frac{d ^{3}}{d x ^{3}} (e^{- x^{2}})

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

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

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

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

\frac{d}{d x} (- 2 (- 2 e^{- x^{2}} x^{2} + e^{- x^{2}})) = - 2 (4 e^{- x^{2}} x^{3} - 6 e^{- x^{2}} x)

= - 2 (4 e^{- x^{2}} x^{3} - 6 e^{- x^{2}} x)

y = 2 x^{3}, y = 18 x

f (x) = 3 x - 2 x^{2}, (- 3, - 27)

x \to 0 lim (π^{2})

\frac{d ^{2}}{d x ^{2}} (\frac{( x - 5 ) ( x ^{2} + 5 x + 25 )}{x ^{3}})

\int (1 + tan (x))^{3} sec^{2} (x) d x

What is (d^3)/(dx^3)(e^{-x^2}) ?
The answer to (d^3)/(dx^3)(e^{-x^2}) is -2(4e^{-x^2}x^3-6e^{-x^2}x)