What is (d^4)/(dx^4)(15e^{x^2}) ?

The answer to (d^4)/(dx^4)(15e^{x^2}) is 30(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})

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(d^4)/(dx^4)(15e^{x^2})

\frac{d ^{4}}{d x ^{4}} (15 e^{x^{2}})

30 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

Solution steps

\frac{d ^{4}}{d x ^{4}} (15 e^{x^{2}})

\frac{d}{d x} (15 e^{x^{2}}) = 30 e^{x^{2}} x

= \frac{d ^{3}}{d x ^{3}} (30 e^{x^{2}} x)

\frac{d}{d x} (30 e^{x^{2}} x) = 30 (2 e^{x^{2}} x^{2} + e^{x^{2}})

= \frac{d ^{2}}{d x ^{2}} (30 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

\frac{d}{d x} (30 (2 e^{x^{2}} x^{2} + e^{x^{2}})) = 30 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

= \frac{d}{d x} (30 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

\frac{d}{d x} (30 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)) = 30 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

= 30 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

\int_{- 2}^{2} (x + 9) 4 - x^{2} d x

x \to 0 lim (\frac{8 ^{x} - 1 4 ^{x}}{x})

\frac{d}{d x} (\frac{1}{5} sin (5 x))

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

\int \frac{4 x + 10}{x ^{3}} d x

What is (d^4)/(dx^4)(15e^{x^2}) ?
The answer to (d^4)/(dx^4)(15e^{x^2}) is 30(8e^{x^2}x^4+24e^{x^2}x^2+6e^{x^2})