What is (d^4)/(dx^4)(9e^{x^2}) ?

The answer to (d^4)/(dx^4)(9e^{x^2}) is 18(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})

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(d^4)/(dx^4)(9e^{x^2})

\frac{d ^{4}}{d x ^{4}} (9 e^{x^{2}})

18 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

Solution steps

\frac{d ^{4}}{d x ^{4}} (9 e^{x^{2}})

\frac{d}{d x} (9 e^{x^{2}}) = 18 e^{x^{2}} x

= \frac{d ^{3}}{d x ^{3}} (18 e^{x^{2}} x)

\frac{d}{d x} (18 e^{x^{2}} x) = 18 (2 e^{x^{2}} x^{2} + e^{x^{2}})

= \frac{d ^{2}}{d x ^{2}} (18 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

\frac{d}{d x} (18 (2 e^{x^{2}} x^{2} + e^{x^{2}})) = 18 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

= \frac{d}{d x} (18 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

\frac{d}{d x} (18 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)) = 18 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

= 18 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

100

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What is (d^4)/(dx^4)(9e^{x^2}) ?
The answer to (d^4)/(dx^4)(9e^{x^2}) is 18(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})