What is (d^2)/(dx^2)((y)(5-3x)^3) ?

The answer to (d^2)/(dx^2)((y)(5-3x)^3) is (d^2y)/(dx^2)(5-3x)^3-18(dy)/(dx)(5-3x)^2+270y-162xy

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(d^2)/(dx^2)((y)(5-3x)^3)

\frac{d ^{2}}{d x ^{2}} ((y) (5 - 3 x)^{3})

\frac{d ^{2} y}{d x ^{2}} (5 - 3 x)^{3} - 18 \frac{d y}{d x} (5 - 3 x)^{2} + 270 y - 162 x y

Solution steps

\frac{d ^{2}}{d x ^{2}} ((y) (5 - 3 x)^{3})

\frac{d}{d x} (y (5 - 3 x)^{3}) = \frac{d y}{d x} (5 - 3 x)^{3} - 9 (5 - 3 x)^{2} y

= \frac{d}{d x} (\frac{d y}{d x} (5 - 3 x)^{3} - 9 (5 - 3 x)^{2} y)

\frac{d}{d x} (\frac{d y}{d x} (5 - 3 x)^{3} - 9 (5 - 3 x)^{2} y) = \frac{d ^{2} y}{d x ^{2}} (5 - 3 x)^{3} - 18 \frac{d y}{d x} (5 - 3 x)^{2} + 270 y - 162 x y

= \frac{d ^{2} y}{d x ^{2}} (5 - 3 x)^{3} - 18 \frac{d y}{d x} (5 - 3 x)^{2} + 270 y - 162 x y

\frac{2 λ ^{2}}{( λ + s ) ( 2 λ + s )}

sin (cos ((x + y)^{2}))

(y ln (y) - e^{- x y}) d x

\frac{1}{( x ) ( x - 1 ) ( x + 6 )}

d x (\frac{10}{z ^{2}} - \frac{4}{z ^{6}})

What is (d^2)/(dx^2)((y)(5-3x)^3) ?
The answer to (d^2)/(dx^2)((y)(5-3x)^3) is (d^2y)/(dx^2)(5-3x)^3-18(dy)/(dx)(5-3x)^2+270y-162xy