Find the derivative of the following :

(5x³+3x+1)(x-1)

Answer

Let y = (5x³+3x -1) (x-1)
differentiating both sides w.r.t. x, we get
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=(5x³+3x -1) (1-0)+(x-1)(5x²+3 -0)
= 5x³+3x -1+15x³+3x -3
= 20x³-15x²+ 6x -4