What is the derivative of 3sqrt(x)+7 ?

The derivative of 3sqrt(x)+7 is 3/(2sqrt(x))

What is the first derivative of 3sqrt(x)+7 ?

The first derivative of 3sqrt(x)+7 is 3/(2sqrt(x))

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\frac{d}{d x} (3 x + 7)

\frac{3}{2 x}

Solution steps

\frac{d}{d x} (3 x + 7)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (7)

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

\frac{d}{d x} (7) = 0

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

Simplify

= \frac{3}{2 x}

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What is the derivative of 3sqrt(x)+7 ?
The derivative of 3sqrt(x)+7 is 3/(2sqrt(x))
What is the first derivative of 3sqrt(x)+7 ?
The first derivative of 3sqrt(x)+7 is 3/(2sqrt(x))