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Popular >

derivative of (x-2(x+1)(x+2))

Solution

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

Solution

3 x^{2} + 2 x - 4

Solution steps

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

Apply the Product Rule:

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

f = x - 2, g = (x + 1) (x + 2)

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

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

\frac{d}{d x} ((x + 1) (x + 2)) = 2 x + 3

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

Simplify

1 \cdot (x + 1) (x + 2) + (2 x + 3) (x - 2) : 3 x^{2} + 2 x - 4

= 3 x^{2} + 2 x - 4

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\int \frac{1}{81 e ^{- 8 x} + e ^{8 x}} d x

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\frac{d}{d x} (cos (sin (2 x + 5)))

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Frequently Asked Questions (FAQ)

What is the derivative of (x-2(x+1)(x+2)) ?
The derivative of (x-2(x+1)(x+2)) is 3x^2+2x-4
What is the first derivative of (x-2(x+1)(x+2)) ?
The first derivative of (x-2(x+1)(x+2)) is 3x^2+2x-4