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

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

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

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

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derivative of

(x - 2) (3 x + 3)

6 x - 3

Solution steps

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

Apply the Product Rule:

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

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

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

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

\frac{d}{d x} (3 x + 3) = 3

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

Simplify

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

= 6 x - 3

f (x) = ln (1 + 2 x)

\frac{d}{d t} (\frac{1}{t + 1})

y - y^{^{'}} (x - 10) = x

\int_{0}^{\frac{π}{3}} tan^{2} (x) d x

y = 2 x^{3} - x^{2} + 2, (1, 3)

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