What is the derivative of sqrt(6x) ?

The derivative of sqrt(6x) is (sqrt(3))/(sqrt(2)\sqrt{x)}

What is the first derivative of sqrt(6x) ?

The first derivative of sqrt(6x) is (sqrt(3))/(sqrt(2)\sqrt{x)}

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derivative of

6 x

\frac{3}{2 x}

Solution steps

\frac{d}{d x} (6 x)

Apply the chain rule:

\frac{1}{2 6 x} \frac{d}{d x} (6 x)

= \frac{1}{2 6 x} \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= \frac{1}{2 6 x} \cdot 6

Simplify

\frac{1}{2 6 x} \cdot 6 : \frac{3}{2 x}

= \frac{3}{2 x}

\int \frac{( x - 1 )}{2} d x

(8 + x) y^{^{'}} = 7 y

\frac{\partial}{\partial x} (ln (x^{2} + y^{4}) - z)

\frac{\partial}{\partial x} (\frac{2 y}{9 x ^{2} + y ^{2} + 9})

ln (x^{2} + 9)

What is the derivative of sqrt(6x) ?
The derivative of sqrt(6x) is (sqrt(3))/(sqrt(2)\sqrt{x)}
What is the first derivative of sqrt(6x) ?
The first derivative of sqrt(6x) is (sqrt(3))/(sqrt(2)\sqrt{x)}