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}

\frac{d}{d θ} (3 tan (θ))

n = 1 \sum \infty a^{n - 1} \cdot n

\int sin (x + 5) d x

\int 3 x^{2} - 2 x + 5 d x

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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))