What is (d^2)/(dx^2)(2^{(x^2+1)}) ?

The answer to (d^2)/(dx^2)(2^{(x^2+1)}) is ln(2)(ln(2)*2^{x^2+3}x^2+2^{x^2+2})

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(d^2)/(dx^2)(2^{(x^2+1)})

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

ln (2) (ln (2) \cdot 2^{x^{2} + 3} x^{2} + 2^{x^{2} + 2})

Solution steps

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

\frac{d}{d x} (2^{x^{2} + 1}) = ln (2) \cdot 2^{x^{2} + 2} x

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

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

= ln (2) (ln (2) \cdot 2^{x^{2} + 3} x^{2} + 2^{x^{2} + 2})

\int_{0}^{x^{2}} sin (t^{3}) d t

\frac{d}{d x} (cos (a^{3} + x^{3}))

\int sec (3 t) d t

x \to \frac{π}{2} - lim (x sec (x))

x \to - 1 lim (5)

What is (d^2)/(dx^2)(2^{(x^2+1)}) ?
The answer to (d^2)/(dx^2)(2^{(x^2+1)}) is ln(2)(ln(2)*2^{x^2+3}x^2+2^{x^2+2})