What is (d^2)/(dx^2)((y)(4x-8)) ?

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

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(d^2)/(dx^2)((y)(4x-8))

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

4 x \frac{d ^{2} y}{d x ^{2}} - 8 \frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x}

Solution steps

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

\frac{d}{d x} (y (4 x - 8)) = \frac{d y}{d x} (4 x - 8) + 4 y

= \frac{d}{d x} (\frac{d y}{d x} (4 x - 8) + 4 y)

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

= 4 x \frac{d ^{2} y}{d x ^{2}} - 8 \frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x}

\frac{1}{( a + 2 ) ^{2}}

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

cos^{2} ((a + k) \cdot t)

x (x^{2} + x + 1)^{2}

e^{\frac{( ( x - 1 ) ( x + 1 ) )}{2 x}}

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