What is the derivative of (3x/7) ?

The derivative of (3x/7) is 3/7

What is the first derivative of (3x/7) ?

The first derivative of (3x/7) is 3/7

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\frac{d}{d x} (\frac{3 x}{7})

\frac{3}{7}

Decimal

0.42857 \dots

Solution steps

\frac{d}{d x} (\frac{3 x}{7})

Take the constant out:

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

= \frac{3}{7} \frac{d x}{d x}

Apply the common derivative:

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

= \frac{3}{7} \cdot 1

Simplify

= \frac{3}{7}