What is the derivative of (x-2)(4x+2) ?

The derivative of (x-2)(4x+2) is 8x-6

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

The first derivative of (x-2)(4x+2) is 8x-6

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derivative of

(x - 2) (4 x + 2)

8 x - 6

Solution steps

\frac{d}{d x} ((x - 2) (4 x + 2))

Apply the Product Rule:

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

f = x - 2, g = 4 x + 2

= \frac{d}{d x} (x - 2) (4 x + 2) + \frac{d}{d x} (4 x + 2) (x - 2)

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

\frac{d}{d x} (4 x + 2) = 4

= 1 \cdot (4 x + 2) + 4 (x - 2)

Simplify

1 \cdot (4 x + 2) + 4 (x - 2) : 8 x - 6

= 8 x - 6

4^{s i n^{2} (x) + c o s (3 x)}

(\frac{1}{t})^{^{'}}

(e^{\frac{x}{2}})^{^{'}}

x \to 2 + lim (\frac{6}{x - 2})

\int \frac{28 s ^{3}}{8 - s ^{4}} d s

What is the derivative of (x-2)(4x+2) ?
The derivative of (x-2)(4x+2) is 8x-6
What is the first derivative of (x-2)(4x+2) ?
The first derivative of (x-2)(4x+2) is 8x-6