What is the derivative of y=(x-1)(x-2) ?

The derivative of y=(x-1)(x-2) is 2x-3

What is the first derivative of y=(x-1)(x-2) ?

The first derivative of y=(x-1)(x-2) is 2x-3

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derivative of

y = (x - 1) (x - 2)

2 x - 3

Solution steps

\frac{d}{d x} ((x - 1) (x - 2))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x - 1, g = x - 2

= \frac{d}{d x} (x - 1) (x - 2) + \frac{d}{d x} (x - 2) (x - 1)

\frac{d}{d x} (x - 1) = 1

\frac{d}{d x} (x - 2) = 1

= 1 \cdot (x - 2) + 1 \cdot (x - 1)

Simplify

1 \cdot (x - 2) + 1 \cdot (x - 1) : 2 x - 3

= 2 x - 3

What is the derivative of y=(x-1)(x-2) ?
The derivative of y=(x-1)(x-2) is 2x-3
What is the first derivative of y=(x-1)(x-2) ?
The first derivative of y=(x-1)(x-2) is 2x-3