What is expand derivative of (x-1(x-5)^3)+1 ?

The solution to expand derivative of (x-1(x-5)^3)+1 is derivative of x^4-16x^3+90x^2-200x+125+1

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expand derivative of (x-1(x-5)^3)+1

expand

\frac{d}{d x} ((x - 1) (x - 5)^{3}) + 1

\frac{d}{d x} (x^{4} - 16 x^{3} + 90 x^{2} - 200 x + 125) + 1

Solution steps

\frac{d}{d x} ((x - 1) (x - 5)^{3}) + 1

\frac{d}{d x} ((x - 1) (x - 5)^{3}) = \frac{d}{d x} (x^{4} - 16 x^{3} + 90 x^{2} - 200 x + 125)

= \frac{d}{d x} (x^{4} - 16 x^{3} + 90 x^{2} - 200 x + 125) + 1

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

(x + 2 + 3) (x + 2 - 3)

t u (t - 5)

(x + 3)^{2} (x - (- 3 + 3 i)) (x - (- 3 - 3 i))

(sin (x) + 1) (tan (x) - sec (x))

What is expand derivative of (x-1(x-5)^3)+1 ?
The solution to expand derivative of (x-1(x-5)^3)+1 is derivative of x^4-16x^3+90x^2-200x+125+1