What is the derivative of (8x)/3 ?

The derivative of (8x)/3 is 8/3

What is the first derivative of (8x)/3 ?

The first derivative of (8x)/3 is 8/3

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derivative of

\frac{8 x}{3}

\frac{8}{3}

Decimal

2.66666 \dots

Solution steps

\frac{d}{d x} (\frac{8 x}{3})

Take the constant out:

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

= \frac{8}{3} \frac{d x}{d x}

Apply the common derivative:

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

= \frac{8}{3} \cdot 1

Simplify

= \frac{8}{3}