What is the derivative of 1+sqrt(4-x) ?

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

What is the first derivative of 1+sqrt(4-x) ?

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

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\frac{d}{d x} (1 + 4 - x)

- \frac{1}{2 - x + 4}

Solution steps

\frac{d}{d x} (1 + 4 - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (4 - x)

\frac{d}{d x} (1) = 0

\frac{d}{d x} (4 - x) = - \frac{1}{2 4 - x}

= 0 - \frac{1}{2 4 - x}

Simplify

= - \frac{1}{2 - x + 4}

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