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Question #8a320

1 Answer

Jul 20, 2017

$\frac{d y}{d x} = 12 x + 1$ $dy/dx=12x+1$

Explanation:

Let's use the product rule :

$y = (2 x - 1) (3 x + 2)$ $y=(2x-1)(3x+2)$

$\frac{d y}{d x} = \frac{d (2 x - 1)}{d x} (3 x + 2) + (2 x - 1) \frac{d (3 x + 2)}{d x} =$ $dy/dx=(d(2x-1))/dx(3x+2)+(2x-1)(d(3x+2))/dx=$

$2 (3 x + 2) + 3 (2 x - 1) = 6 x + 4 + 6 x - 3 = 12 x + 1$ $2(3x+2)+3(2x-1)=6x+4+6x-3=12x+1$

So : $\frac{d y}{d x} = 12 x + 1$ $dy/dx=12x+1$

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