What is (d^2)/(dt^2)((x)(-94x)) ?

The answer to (d^2)/(dt^2)((x)(-94x)) is -188((dx)/(dt)^2+(d^2x)/(dt^2)x)

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(d^2)/(dt^2)((x)(-94x))

\frac{d ^{2}}{d t ^{2}} ((x) (- 94 x))

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

Solution steps

\frac{d ^{2}}{d t ^{2}} ((x) (- 94 x))

Simplify

(x) (- 94 x) : - 94 x^{2}

= \frac{d ^{2}}{d t ^{2}} (- 94 x^{2})

\frac{d}{d t} (- 94 x^{2}) = - 188 x \frac{d x}{d t}

= \frac{d}{d t} (- 188 x \frac{d x}{d t})

\frac{d}{d t} (- 188 x \frac{d x}{d t}) = - 188 (\frac{d x}{d t}^{2} + \frac{d ^{2} x}{d t ^{2}} x)

= - 188 (\frac{d x}{d t}^{2} + \frac{d ^{2} x}{d t ^{2}} x)

(2 x^{2}) + 5

- 4 sin (x) + (- 4 cos (x))

c_{1} e^{2 t} + c_{2} e^{- 4 t}

a^{3} - b^{3} + a^{2} - b^{2}

What is (d^2)/(dt^2)((x)(-94x)) ?
The answer to (d^2)/(dt^2)((x)(-94x)) is -188((dx)/(dt)^2+(d^2x)/(dt^2)x)