What is (d^2)/(dt^2)((x)(8-4t+t^2)) ?

The answer to (d^2)/(dt^2)((x)(8-4t+t^2)) is (d^2x)/(dt^2)(8-4t+t^2)+2(dx)/(dt)(2t-4)+2x

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(d^2)/(dt^2)((x)(8-4t+t^2))

\frac{d ^{2}}{d t ^{2}} ((x) (8 - 4 t + t^{2}))

\frac{d ^{2} x}{d t ^{2}} (8 - 4 t + t^{2}) + 2 \frac{d x}{d t} (2 t - 4) + 2 x

Solution steps

\frac{d ^{2}}{d t ^{2}} ((x) (8 - 4 t + t^{2}))

\frac{d}{d t} (x (8 - 4 t + t^{2})) = \frac{d x}{d t} (8 - 4 t + t^{2}) + (2 t - 4) x

= \frac{d}{d t} (\frac{d x}{d t} (8 - 4 t + t^{2}) + (2 t - 4) x)

\frac{d}{d t} (\frac{d x}{d t} (8 - 4 t + t^{2}) + (2 t - 4) x) = \frac{d ^{2} x}{d t ^{2}} (8 - 4 t + t^{2}) + 2 \frac{d x}{d t} (2 t - 4) + 2 x

= \frac{d ^{2} x}{d t ^{2}} (8 - 4 t + t^{2}) + 2 \frac{d x}{d t} (2 t - 4) + 2 x

\frac{d}{d y} ((z (y, x)) ((3 x + 5 y)^{7}))

(\frac{k}{6} - 2) (\frac{k}{8} + 3 \frac{1}{6})

3 (7 + 11)

[(x + 3) \cdot ln (2 - x^{2})]^{^{'}}

(e^{x} - e)^{2}

What is (d^2)/(dt^2)((x)(8-4t+t^2)) ?
The answer to (d^2)/(dt^2)((x)(8-4t+t^2)) is (d^2x)/(dt^2)(8-4t+t^2)+2(dx)/(dt)(2t-4)+2x