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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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