What is the derivative of (x-0.1(x-0.5)(x-0.6)) ?

The derivative of (x-0.1(x-0.5)(x-0.6)) is 3x^2-2.4x+0.41

What is the first derivative of (x-0.1(x-0.5)(x-0.6)) ?

The first derivative of (x-0.1(x-0.5)(x-0.6)) is 3x^2-2.4x+0.41

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\frac{d}{d x} ((x - 0.1) (x - 0.5) (x - 0.6))

3 x^{2} - 2.4 x + 0.41

Solution steps

\frac{d}{d x} ((x - 0.1) (x - 0.5) (x - 0.6))

Apply the Product Rule:

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

f = x - 0.1, g = (x - 0.5) (x - 0.6)

= \frac{d}{d x} (x - 0.1) (x - 0.5) (x - 0.6) + \frac{d}{d x} ((x - 0.5) (x - 0.6)) (x - 0.1)

\frac{d}{d x} (x - 0.1) = 1

\frac{d}{d x} ((x - 0.5) (x - 0.6)) = 2 x - 1.1

= 1 \cdot (x - 0.5) (x - 0.6) + (2 x - 1.1) (x - 0.1)

Simplify

1 \cdot (x - 0.5) (x - 0.6) + (2 x - 1.1) (x - 0.1) : 3 x^{2} - 2.4 x + 0.41

= 3 x^{2} - 2.4 x + 0.41

\frac{d}{d x} (x^{2} (6 - x)^{3})

\int \frac{1}{x ^{2} + 8 x + 20} d x

x \to 0 lim (\frac{4}{x} - \frac{4}{∣ x ∣})

y^{^{'}} + y = 5 sin (2 x)

\frac{\partial}{\partial x} (sin (n x) e^{- n^{2} t})

What is the derivative of (x-0.1(x-0.5)(x-0.6)) ?
The derivative of (x-0.1(x-0.5)(x-0.6)) is 3x^2-2.4x+0.41
What is the first derivative of (x-0.1(x-0.5)(x-0.6)) ?
The first derivative of (x-0.1(x-0.5)(x-0.6)) is 3x^2-2.4x+0.41