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

The derivative of (x-3(x+2)) is 2x-1

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

The first derivative of (x-3(x+2)) is 2x-1

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

2 x - 1

Solution steps

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

Apply the Product Rule:

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

f = x - 3, g = x + 2

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

\frac{d}{d x} (x - 3) = 1

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

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

Simplify

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

= 2 x - 1

\int \frac{1}{x ^{2} 196 - x ^{2}} d x

(x - 2) (x + 1) (x + 6)

y = 4 + 8 x^{2}, (0, 4)

tan (4 x^{2} - 3 x - 4)

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

What is the derivative of (x-3(x+2)) ?
The derivative of (x-3(x+2)) is 2x-1
What is the first derivative of (x-3(x+2)) ?
The first derivative of (x-3(x+2)) is 2x-1