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Popular >

derivative of (30+x)(230-10x)

Solution

derivative of

(30 + x) (230 - 10 x)

Solution

- 20 x - 70

Solution steps

\frac{d}{d x} ((30 + x) (230 - 10 x))

Apply the Product Rule:

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

f = 30 + x, g = 230 - 10 x

= \frac{d}{d x} (30 + x) (230 - 10 x) + \frac{d}{d x} (230 - 10 x) (30 + x)

\frac{d}{d x} (30 + x) = 1

\frac{d}{d x} (230 - 10 x) = - 10

= 1 \cdot (230 - 10 x) + (- 10) (30 + x)

Simplify

1 \cdot (230 - 10 x) + (- 10) (30 + x) : - 20 x - 70

= - 20 x - 70

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Frequently Asked Questions (FAQ)

What is the derivative of (30+x)(230-10x) ?
The derivative of (30+x)(230-10x) is -20x-70
What is the first derivative of (30+x)(230-10x) ?
The first derivative of (30+x)(230-10x) is -20x-70