What is the derivative of (x-7)(2x+4) ?

The derivative of (x-7)(2x+4) is 4x-10

What is the first derivative of (x-7)(2x+4) ?

The first derivative of (x-7)(2x+4) is 4x-10

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derivative of

(x - 7) (2 x + 4)

4 x - 10

Solution steps

\frac{d}{d x} ((x - 7) (2 x + 4))

Apply the Product Rule:

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

f = x - 7, g = 2 x + 4

= \frac{d}{d x} (x - 7) (2 x + 4) + \frac{d}{d x} (2 x + 4) (x - 7)

\frac{d}{d x} (x - 7) = 1

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

= 1 \cdot (2 x + 4) + 2 (x - 7)

Simplify

1 \cdot (2 x + 4) + 2 (x - 7) : 4 x - 10

= 4 x - 10

x \to 1 lim (\frac{x}{x ^{2} + 4})

y = (4 x^{3} + 5) (x^{4} - 3 x)

n = 1 \sum \infty n + \frac{1}{n ^{2}}

\frac{d y}{d x} = 2 x

\int_{1}^{5} π (x - 1) d x

What is the derivative of (x-7)(2x+4) ?
The derivative of (x-7)(2x+4) is 4x-10
What is the first derivative of (x-7)(2x+4) ?
The first derivative of (x-7)(2x+4) is 4x-10