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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

b \to 7 lim (6 b + 31)

\int_{0}^{1} (x^{2} + 5 x) e^{- x} d x

\int_{0}^{5} x^{\frac{3}{2}} d x

\int \frac{4 x ^{2} + x + 17}{( x ^{2} + 5 ) ( x - 3 )} d x

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