What is the derivative of sqrt(x)-6 ?

The derivative of sqrt(x)-6 is 1/(2sqrt(x))

What is the first derivative of sqrt(x)-6 ?

The first derivative of sqrt(x)-6 is 1/(2sqrt(x))

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derivative of

x - 6

\frac{1}{2 x}

Solution steps

\frac{d}{d x} (x - 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (6)

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

\frac{d}{d x} (6) = 0

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

Simplify

= \frac{1}{2 x}

What is the derivative of sqrt(x)-6 ?
The derivative of sqrt(x)-6 is 1/(2sqrt(x))
What is the first derivative of sqrt(x)-6 ?
The first derivative of sqrt(x)-6 is 1/(2sqrt(x))