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

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

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

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

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derivative of

f (x) = 3 x + 3 x

3 + \frac{3}{2 x}

Solution steps

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

Simplify

3 x + 3 x : 3 x + 3 x

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to 0 lim (\frac{∣ x - 2 ∣}{x})

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