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

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

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

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

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derivative of

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}

\frac{y ^{2}}{2} = x, x = 2 y

\int 5 (9 x - 4)^{4} d x

\int (1 0^{x} - \frac{1}{x}) d x

\frac{d}{d x} (x^{2} + 6 x + 10)

\int 6 x^{4} - 6 x^{3} + 5 x^{2} + C d x

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