What is (d^4)/(dx^4)(e^{x^2}) ?

The answer to (d^4)/(dx^4)(e^{x^2}) is 2(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})

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(d^4)/(dx^4)(e^{x^2})

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

2 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

Solution steps

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

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

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

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

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

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

\frac{d}{d x} (2 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)) = 2 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

= 2 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

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

\int \frac{17}{9 - 25 x ^{2}} d x

\int e^{3 y} y d y

\frac{d}{d x} (\frac{x - x ^{2}}{x - 1})

\frac{d y}{d x} = 2 y x

What is (d^4)/(dx^4)(e^{x^2}) ?
The answer to (d^4)/(dx^4)(e^{x^2}) is 2(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})