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Popular >

derivative of f(x)=(x-5)(x+1)

Solution

derivative of

f (x) = (x - 5) (x + 1)

Solution

2 x - 4

Solution steps

\frac{d}{d x} ((x - 5) (x + 1))

Apply the Product Rule:

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

f = x - 5, g = x + 1

= \frac{d}{d x} (x - 5) (x + 1) + \frac{d}{d x} (x + 1) (x - 5)

\frac{d}{d x} (x - 5) = 1

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

= 1 \cdot (x + 1) + 1 \cdot (x - 5)

Simplify

1 \cdot (x + 1) + 1 \cdot (x - 5) : 2 x - 4

= 2 x - 4

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(x-5)(x+1) ?
The derivative of f(x)=(x-5)(x+1) is 2x-4
What is the first derivative of f(x)=(x-5)(x+1) ?
The first derivative of f(x)=(x-5)(x+1) is 2x-4