What is (d^2)/(dx^2)(e^{7x^2}) ?

The answer to (d^2)/(dx^2)(e^{7x^2}) is 14(14e^{7x^2}x^2+e^{7x^2})

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(d^2)/(dx^2)(e^{7x^2})

\frac{d ^{2}}{d x ^{2}} (e^{7 x^{2}})

14 (14 e^{7 x^{2}} x^{2} + e^{7 x^{2}})

Solution steps

\frac{d ^{2}}{d x ^{2}} (e^{7 x^{2}})

\frac{d}{d x} (e^{7 x^{2}}) = e^{7 x^{2}} \cdot 14 x

= \frac{d}{d x} (e^{7 x^{2}} \cdot 14 x)

\frac{d}{d x} (e^{7 x^{2}} \cdot 14 x) = 14 (14 e^{7 x^{2}} x^{2} + e^{7 x^{2}})

= 14 (14 e^{7 x^{2}} x^{2} + e^{7 x^{2}})

What is (d^2)/(dx^2)(e^{7x^2}) ?
The answer to (d^2)/(dx^2)(e^{7x^2}) is 14(14e^{7x^2}x^2+e^{7x^2})