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

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

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

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

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

\frac{1}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5) = 0

= \frac{1}{2 x} + 0

Simplify

= \frac{1}{2 x}

x \to 0 + lim (ln (\frac{1}{8 x}))

\frac{d}{d x} (4 sin^{3} (x))

(4 y + 8 t^{2}) d y + (16 y t - 3) d t = 0

\frac{\partial}{\partial x} (x^{2} sin (4 y))

\int x cos^{2} (x) d x

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