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

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

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

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

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derivative of

y = 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}

\frac{d y}{d x} + a y = 0

x \to - 2 lim (3 x^{4} + 2 x^{2} - x + 1)

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{3}, y (0) = 1, y^{^{'}} (0) = 0

\frac{d y}{d x} = \frac{( y - x + 1 )}{y - x - 6}

y^{^{''''}} + 5 y^{^{''}} + 4 y = 0, y (0) = 0

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