What is (d^2)/(dx^2)((y)(x-2)) ?

The answer to (d^2)/(dx^2)((y)(x-2)) is x(d^2y)/(dx^2)-2(d^2y)/(dx^2)+2(dy)/(dx)

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(d^2)/(dx^2)((y)(x-2))

\frac{d ^{2}}{d x ^{2}} ((y) (x - 2))

x \frac{d ^{2} y}{d x ^{2}} - 2 \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x}

Solution steps

\frac{d ^{2}}{d x ^{2}} ((y) (x - 2))

\frac{d}{d x} (y (x - 2)) = \frac{d y}{d x} (x - 2) + y

= \frac{d}{d x} (\frac{d y}{d x} (x - 2) + y)

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

= x \frac{d ^{2} y}{d x ^{2}} - 2 \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x}

\frac{3 x + 1}{x ^{2} - 9} - \frac{2}{x + 3}

- \frac{0.1 ( 2 s + 5 )}{s + 1}

(1 + 2 x - 3 x^{2})^{6}

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

e^{t} U (t - 3)

What is (d^2)/(dx^2)((y)(x-2)) ?
The answer to (d^2)/(dx^2)((y)(x-2)) is x(d^2y)/(dx^2)-2(d^2y)/(dx^2)+2(dy)/(dx)