What is the derivative of x(x-6)^2 ?

The derivative of x(x-6)^2 is 3x^2-24x+36

What is the first derivative of x(x-6)^2 ?

The first derivative of x(x-6)^2 is 3x^2-24x+36

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derivative of

x (x - 6)^{2}

3 x^{2} - 24 x + 36

Solution steps

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

Apply the Product Rule:

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

f = x, g = (x - 6)^{2}

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

\frac{d x}{d x} = 1

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

= 1 \cdot (x - 6)^{2} + 2 (x - 6) x

Simplify

1 \cdot (x - 6)^{2} + 2 (x - 6) x : 3 x^{2} - 24 x + 36

= 3 x^{2} - 24 x + 36

\frac{24 x ^{2} + 36 x}{2 x + 2}

\frac{d}{d x} (7 sin (x) e^{- x} - 1)

\frac{\partial}{\partial x} (e^{2 x} - x cos (x y))

\frac{d}{d x} (4 x^{2} - 2 x)

\int \frac{1}{x ^{3} - x} d x

What is the derivative of x(x-6)^2 ?
The derivative of x(x-6)^2 is 3x^2-24x+36
What is the first derivative of x(x-6)^2 ?
The first derivative of x(x-6)^2 is 3x^2-24x+36