What is expand derivative of (x-2(x-6)^3)+8 ?

The solution to expand derivative of (x-2(x-6)^3)+8 is derivative of x^4-20x^3+144x^2-432x+432+8

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expand derivative of (x-2(x-6)^3)+8

expand

\frac{d}{d x} ((x - 2) (x - 6)^{3}) + 8

\frac{d}{d x} (x^{4} - 20 x^{3} + 144 x^{2} - 432 x + 432) + 8

Solution steps

\frac{d}{d x} ((x - 2) (x - 6)^{3}) + 8

\frac{d}{d x} ((x - 2) (x - 6)^{3}) = \frac{d}{d x} (x^{4} - 20 x^{3} + 144 x^{2} - 432 x + 432)

= \frac{d}{d x} (x^{4} - 20 x^{3} + 144 x^{2} - 432 x + 432) + 8

(1 - cos (θ)) (1 + sin (θ) + cos (θ))

\frac{3 x ^{2} ( 9 - x ^{2} )}{( 7 - 5 x ) ( 5 x ^{2} - 6 )}

\frac{x + A}{A ( 1 + x )}

2 (e^{- 3 x} - 3 e^{- 3 x} x)

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

What is expand derivative of (x-2(x-6)^3)+8 ?
The solution to expand derivative of (x-2(x-6)^3)+8 is derivative of x^4-20x^3+144x^2-432x+432+8