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Popular >

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

Solution

derivative of

y = (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

Popular Examples

integral of a^{-3x}

\int a^{- 3 x} d x

integral of (e^{3x})/((4+e^{2x))^2}

\int \frac{e ^{3 x}}{( 4 + e ^{2 x} ) ^{2}} d x

tangent of f(x)= 8/(sqrt(x+11)),\at x=5 tangent of

f (x) = \frac{8}{x + 11}, at x = 5

integral from 0 to 1 of 3x

\int_{0}^{1} 3 x d x

x y^{^{'}} = x - y

Frequently Asked Questions (FAQ)

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