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Popular >

derivative of (x-4)(x+1)

Solution

derivative of

(x - 4) (x + 1)

Solution

2 x - 3

Solution steps

\frac{d}{d x} ((x - 4) (x + 1))

Apply the Product Rule:

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

f = x - 4, g = x + 1

= \frac{d}{d x} (x - 4) (x + 1) + \frac{d}{d x} (x + 1) (x - 4)

\frac{d}{d x} (x - 4) = 1

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

= 1 \cdot (x + 1) + 1 \cdot (x - 4)

Simplify

1 \cdot (x + 1) + 1 \cdot (x - 4) : 2 x - 3

= 2 x - 3

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Frequently Asked Questions (FAQ)

What is the derivative of (x-4)(x+1) ?
The derivative of (x-4)(x+1) is 2x-3
What is the first derivative of (x-4)(x+1) ?
The first derivative of (x-4)(x+1) is 2x-3