What is (d^2)/(dx^2)((y)(6x-3)) ?

The answer to (d^2)/(dx^2)((y)(6x-3)) is 6x(d^2y)/(dx^2)-3(d^2y)/(dx^2)+12(dy)/(dx)

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(d^2)/(dx^2)((y)(6x-3))

\frac{d ^{2}}{d x ^{2}} ((y) (6 x - 3))

6 x \frac{d ^{2} y}{d x ^{2}} - 3 \frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x}

Solution steps

\frac{d ^{2}}{d x ^{2}} ((y) (6 x - 3))

\frac{d}{d x} (y (6 x - 3)) = \frac{d y}{d x} (6 x - 3) + 6 y

= \frac{d}{d x} (\frac{d y}{d x} (6 x - 3) + 6 y)

\frac{d}{d x} (\frac{d y}{d x} (6 x - 3) + 6 y) = 6 x \frac{d ^{2} y}{d x ^{2}} - 3 \frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x}

= 6 x \frac{d ^{2} y}{d x ^{2}} - 3 \frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x}

\frac{7 s - 16}{( s - 2 ) ^{2} + 16}

∣ A - B ∣^{2}

\frac{4}{( 2 x ^{8} - 5 ) ^{4}}

\frac{( 18 - ln ( 3 ) ) ( 81 - 3 )}{6558}

x (y = 4 x - x^{2})

What is (d^2)/(dx^2)((y)(6x-3)) ?
The answer to (d^2)/(dx^2)((y)(6x-3)) is 6x(d^2y)/(dx^2)-3(d^2y)/(dx^2)+12(dy)/(dx)