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

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

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

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

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

\frac{5}{2 x}

Solution steps

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

Simplify

3 + 5 x : 3 + 5 x

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= \frac{5}{2 x}

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