What is the derivative of (2x/3) ?

The derivative of (2x/3) is 2/3

What is the first derivative of (2x/3) ?

The first derivative of (2x/3) is 2/3

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\frac{d}{d x} (\frac{2 x}{3})

\frac{2}{3}

Decimal

0.66666 \dots

Solution steps

\frac{d}{d x} (\frac{2 x}{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{2}{3} \frac{d x}{d x}

Apply the common derivative:

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

= \frac{2}{3} \cdot 1

Simplify

= \frac{2}{3}

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