What is the derivative of 4+sqrt(x-7) ?

The derivative of 4+sqrt(x-7) is 1/(2sqrt(x-7))

What is the first derivative of 4+sqrt(x-7) ?

The first derivative of 4+sqrt(x-7) is 1/(2sqrt(x-7))

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\frac{d}{d x} (4 + x - 7)

\frac{1}{2 x - 7}

Solution steps

\frac{d}{d x} (4 + x - 7)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) + \frac{d}{d x} (x - 7)

\frac{d}{d x} (4) = 0

\frac{d}{d x} (x - 7) = \frac{1}{2 x - 7}

= 0 + \frac{1}{2 x - 7}

Simplify

= \frac{1}{2 x - 7}

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What is the derivative of 4+sqrt(x-7) ?
The derivative of 4+sqrt(x-7) is 1/(2sqrt(x-7))
What is the first derivative of 4+sqrt(x-7) ?
The first derivative of 4+sqrt(x-7) is 1/(2sqrt(x-7))