What is the derivative of (x+2)(10-3x) ?

The derivative of (x+2)(10-3x) is -6x+4

What is the first derivative of (x+2)(10-3x) ?

The first derivative of (x+2)(10-3x) is -6x+4

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derivative of

(x + 2) (10 - 3 x)

- 6 x + 4

Solution steps

\frac{d}{d x} ((x + 2) (10 - 3 x))

Apply the Product Rule:

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

f = x + 2, g = 10 - 3 x

= \frac{d}{d x} (x + 2) (10 - 3 x) + \frac{d}{d x} (10 - 3 x) (x + 2)

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

\frac{d}{d x} (10 - 3 x) = - 3

= 1 \cdot (10 - 3 x) + (- 3) (x + 2)

Simplify

1 \cdot (10 - 3 x) + (- 3) (x + 2) : - 6 x + 4

= - 6 x + 4

What is the derivative of (x+2)(10-3x) ?
The derivative of (x+2)(10-3x) is -6x+4
What is the first derivative of (x+2)(10-3x) ?
The first derivative of (x+2)(10-3x) is -6x+4