What is the derivative of f(x)=2+3sqrt(x) ?

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

What is the first derivative of f(x)=2+3sqrt(x) ?

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

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derivative of

f (x) = 2 + 3 x

\frac{3}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2) = 0

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

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

Simplify

= \frac{3}{2 x}

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