What is the derivative of 4-sqrt(x+16) ?

The derivative of 4-sqrt(x+16) is -1/(2sqrt(x+16))

What is the first derivative of 4-sqrt(x+16) ?

The first derivative of 4-sqrt(x+16) is -1/(2sqrt(x+16))

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derivative of

4 - x + 16

- \frac{1}{2 x + 16}

Solution steps

\frac{d}{d x} (4 - x + 16)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (x + 16)

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

\frac{d}{d x} (x + 16) = \frac{1}{2 x + 16}

= 0 - \frac{1}{2 x + 16}

Simplify

= - \frac{1}{2 x + 16}

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What is the derivative of 4-sqrt(x+16) ?
The derivative of 4-sqrt(x+16) is -1/(2sqrt(x+16))
What is the first derivative of 4-sqrt(x+16) ?
The first derivative of 4-sqrt(x+16) is -1/(2sqrt(x+16))