What is the derivative of sqrt(x+5)-3 ?

The derivative of sqrt(x+5)-3 is 1/(2sqrt(x+5))

What is the first derivative of sqrt(x+5)-3 ?

The first derivative of sqrt(x+5)-3 is 1/(2sqrt(x+5))

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\frac{d}{d x} (x + 5 - 3)

\frac{1}{2 x + 5}

Solution steps

\frac{d}{d x} (x + 5 - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x + 5) - \frac{d}{d x} (3)

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

\frac{d}{d x} (3) = 0

= \frac{1}{2 x + 5} - 0

Simplify

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

\int e^{x} \cdot cos (4 x) d x

x \to \infty lim (2 x - 4)

x - 2 = - (\frac{1}{2}) (y - 4)^{2}, x + y = 6

\int t^{12} d t

\frac{d}{d x} (\frac{e ^{- x}}{( 1 + e ^{- x} ) ^{2}})

What is the derivative of sqrt(x+5)-3 ?
The derivative of sqrt(x+5)-3 is 1/(2sqrt(x+5))
What is the first derivative of sqrt(x+5)-3 ?
The first derivative of sqrt(x+5)-3 is 1/(2sqrt(x+5))