What is the derivative of g(x)=sqrt(x)+5 ?

The derivative of g(x)=sqrt(x)+5 is 1/(2sqrt(x))

What is the first derivative of g(x)=sqrt(x)+5 ?

The first derivative of g(x)=sqrt(x)+5 is 1/(2sqrt(x))

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derivative of

g (x) = x + 5

\frac{1}{2 x}

Solution steps

\frac{d}{d x} (x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

= \frac{1}{2 x} + 0

Simplify

= \frac{1}{2 x}

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What is the derivative of g(x)=sqrt(x)+5 ?
The derivative of g(x)=sqrt(x)+5 is 1/(2sqrt(x))
What is the first derivative of g(x)=sqrt(x)+5 ?
The first derivative of g(x)=sqrt(x)+5 is 1/(2sqrt(x))