What is the derivative of 1-x/2 ?

The derivative of 1-x/2 is -1/2

What is the first derivative of 1-x/2 ?

The first derivative of 1-x/2 is -1/2

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\frac{d}{d x} (1 - \frac{x}{2})

- \frac{1}{2}

Decimal

- 0.5

Solution steps

\frac{d}{d x} (1 - \frac{x}{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) - \frac{d}{d x} (\frac{x}{2})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= 0 - \frac{1}{2}

Simplify

= - \frac{1}{2}