What is the first derivative of t/7 ?

The first derivative of t/7 is 1/7

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derivative of t/7

derivative of

\frac{t}{7}

\frac{1}{7}

Decimal

0.14285 \dots

Solution steps

\frac{d}{d t} (\frac{t}{7})

Take the constant out:

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

= \frac{1}{7} \frac{d t}{d t}

Apply the common derivative:

\frac{d t}{d t} = 1

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

Simplify

= \frac{1}{7}