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}

\int 10 sin^{3} (x) cos^{5} (x) d x

\frac{1}{1 - t}

\int \frac{x}{x ^{2} ( x ^{2} + 1 )} d x

y^{^{''}} + 6 y^{^{'}} + 11 y = 0, y (0) = - 1, y^{^{'}} (0) = - 4

\frac{d}{d x} (\frac{27}{x ^{2} + 9})

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))