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

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

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

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

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derivative of

3 x + 5

\frac{3}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x) = \frac{3}{2 x}

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

= \frac{3}{2 x} + 0

Simplify

= \frac{3}{2 x}

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