What is the derivative of x+sqrt(x+5) ?

The derivative of x+sqrt(x+5) is 1+1/(2sqrt(x+5))

What is the first derivative of x+sqrt(x+5) ?

The first derivative of x+sqrt(x+5) is 1+1/(2sqrt(x+5))

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\frac{d}{d x} (x + x + 5)

1 + \frac{1}{2 x + 5}

Solution steps

\frac{d}{d x} (x + x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (x + 5)

\frac{d x}{d x} = 1

\frac{d}{d x} (x + 5) = \frac{1}{2 x + 5}

= 1 + \frac{1}{2 x + 5}

\int (e^{2 x} + 3)^{2} d x

\frac{152}{x}, - 49 x + 189

y^{^{''}} - 6 y^{^{'}} + 5 y = 0, y (0) = 3, y^{^{'}} (0) = 11

x \to - 3 lim (\frac{5 x ^{2} + 15 x}{x + 3})

x \to π lim (ln ∣ cos (x) - 4 ∣)

What is the derivative of x+sqrt(x+5) ?
The derivative of x+sqrt(x+5) is 1+1/(2sqrt(x+5))
What is the first derivative of x+sqrt(x+5) ?
The first derivative of x+sqrt(x+5) is 1+1/(2sqrt(x+5))