What is the (sqrt(3x))^' ?

The (sqrt(3x))^' is (sqrt(3))/(2sqrt(x))

What is the first (sqrt(3x))^' ?

The first (sqrt(3x))^' is (sqrt(3))/(2sqrt(x))

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(3 x)^{^{'}}

\frac{3}{2 x}

Solution steps

(3 x)^{'}

Apply the chain rule:

\frac{1}{2 3 x} (3 x)^{'}

= \frac{1}{2 3 x} (3 x)^{'}

(3 x)^{'} = 3

= \frac{1}{2 3 x} \cdot 3

Simplify

\frac{1}{2 3 x} \cdot 3 : \frac{3}{2 x}

= \frac{3}{2 x}

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y = 3 x, y = \frac{5}{7} x, y = 54 - x^{2}

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\frac{d}{d x} (e^{2 x} x (a cos (x) + b sin (x)))