What is expand derivative of (x-2(x-7)^3)+8 ?

The solution to expand derivative of (x-2(x-7)^3)+8 is derivative of x^4-23x^3+189x^2-637x+686+8

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expand derivative of (x-2(x-7)^3)+8

expand

\frac{d}{d x} ((x - 2) (x - 7)^{3}) + 8

\frac{d}{d x} (x^{4} - 23 x^{3} + 189 x^{2} - 637 x + 686) + 8

Solution steps

\frac{d}{d x} ((x - 2) (x - 7)^{3}) + 8

\frac{d}{d x} ((x - 2) (x - 7)^{3}) = \frac{d}{d x} (x^{4} - 23 x^{3} + 189 x^{2} - 637 x + 686)

= \frac{d}{d x} (x^{4} - 23 x^{3} + 189 x^{2} - 637 x + 686) + 8

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

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

(a + 2)^{2}

5 (7 - 12)

- \frac{2 ( - x + 3 )}{x ^{4}}

What is expand derivative of (x-2(x-7)^3)+8 ?
The solution to expand derivative of (x-2(x-7)^3)+8 is derivative of x^4-23x^3+189x^2-637x+686+8