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

The first derivative of x+1/2 is 1

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derivative of x+1/2

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

1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{1}{2}) = 0

= 1 + 0

Simplify

= 1

y^{^{'}} - y = e^{- t}

\frac{( x + 1 ) ^{2}}{3 x - 4}

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