What is expand derivative of (7x^2-9x(5x+8))-1 ?

The solution to expand derivative of (7x^2-9x(5x+8))-1 is derivative of 35x^3+11x^2-72x-1

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expand derivative of (7x^2-9x(5x+8))-1

expand

\frac{d}{d x} ((7 x^{2} - 9 x) (5 x + 8)) - 1

\frac{d}{d x} (35 x^{3} + 11 x^{2} - 72 x) - 1

Solution steps

\frac{d}{d x} ((7 x^{2} - 9 x) (5 x + 8)) - 1

Expand

(7 x^{2} - 9 x) (5 x + 8) : 35 x^{3} + 11 x^{2} - 72 x

= \frac{d}{d x} (35 x^{3} + 11 x^{2} - 72 x) - 1

\frac{- s ^{2} + e ^{- 5 s} + e ^{5 s} + 2}{s ^{2} ( s ^{2} + s - 2 )}

\frac{1}{x ( 3 x + 1 ) ( 2 x - 3 )}

\frac{5 ( 58 - 7 )}{3}

- 2450 (z - 1) (z - e^{- 2 T}) (z - e^{- 7 T})

(H (t - 1) - H (t - 4)) (t - 2)

What is expand derivative of (7x^2-9x(5x+8))-1 ?
The solution to expand derivative of (7x^2-9x(5x+8))-1 is derivative of 35x^3+11x^2-72x-1