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

The first derivative of 2x+pi/2 is 2

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derivative of 2x+pi/2

\frac{d}{d x} (2 x + \frac{π}{2})

2

Solution steps

\frac{d}{d x} (2 x + \frac{π}{2})

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{π}{2}) = 0

= 2 + 0

Simplify

= 2

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