What is (d^2)/(dt^2)((h(t))(t^2+5)^8) ?

The answer to (d^2)/(dt^2)((h(t))(t^2+5)^8) is h(48t(t^2+5)^7+224t^3(t^2+5)^6)

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(d^2)/(dt^2)((h(t))(t^2+5)^8)

\frac{d ^{2}}{d t ^{2}} ((h (t)) (t^{2} + 5)^{8})

h (48 t (t^{2} + 5)^{7} + 224 t^{3} (t^{2} + 5)^{6})

Solution steps

\frac{d ^{2}}{d t ^{2}} ((h (t)) (t^{2} + 5)^{8})

\frac{d}{d t} (h t (t^{2} + 5)^{8}) = h ((t^{2} + 5)^{8} + 16 t^{2} (t^{2} + 5)^{7})

= \frac{d}{d t} (h ((t^{2} + 5)^{8} + 16 t^{2} (t^{2} + 5)^{7}))

\frac{d}{d t} (h ((t^{2} + 5)^{8} + 16 t^{2} (t^{2} + 5)^{7})) = h (48 t (t^{2} + 5)^{7} + 224 t^{3} (t^{2} + 5)^{6})

= h (48 t (t^{2} + 5)^{7} + 224 t^{3} (t^{2} + 5)^{6})

x^{\frac{2}{3}} (x^{2} - 9)

e^{x} (3 cos (3 x) + 9 sin (3 x))

s^{2} (2 + \frac{2}{s})

1 + \frac{K ( s + 1 ) ( s + 2.69 )}{s ^{3}}

\frac{1260}{( 2 x + 3 ) ^{3}}

What is (d^2)/(dt^2)((h(t))(t^2+5)^8) ?
The answer to (d^2)/(dt^2)((h(t))(t^2+5)^8) is h(48t(t^2+5)^7+224t^3(t^2+5)^6)