What is the derivative of f(x)=(x-2)(x-1)(x+1)(x+2) ?

The derivative of f(x)=(x-2)(x-1)(x+1)(x+2) is 4x^3-10x

What is the first derivative of f(x)=(x-2)(x-1)(x+1)(x+2) ?

The first derivative of f(x)=(x-2)(x-1)(x+1)(x+2) is 4x^3-10x

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derivative of

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

4 x^{3} - 10 x

Solution steps

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

Apply the Product Rule:

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

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

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

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

\frac{d}{d x} ((x - 1) (x + 1) (x + 2)) = 3 x^{2} + 4 x - 1

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

Simplify

1 \cdot (x - 1) (x + 1) (x + 2) + (3 x^{2} + 4 x - 1) (x - 2) : 4 x^{3} - 10 x

= 4 x^{3} - 10 x

\frac{d}{d x} (x^{4} + \frac{1}{x ^{4}})

\frac{s - 4}{s + 2}

\frac{d}{d x} (arccos (\frac{1}{2} x))

e^{x y} + y^{3} = 2 arcsin (x) + ln (y)

\int (ln (x))^{5} \frac{1}{x} d x

What is the derivative of f(x)=(x-2)(x-1)(x+1)(x+2) ?
The derivative of f(x)=(x-2)(x-1)(x+1)(x+2) is 4x^3-10x
What is the first derivative of f(x)=(x-2)(x-1)(x+1)(x+2) ?
The first derivative of f(x)=(x-2)(x-1)(x+1)(x+2) is 4x^3-10x