What is the derivative of sqrt(2+\sqrt{3x)} ?

The derivative of sqrt(2+\sqrt{3x)} is (sqrt(3))/(4sqrt(x)\sqrt{2+\sqrt{3)sqrt(x)}}

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

The first derivative of sqrt(2+\sqrt{3x)} is (sqrt(3))/(4sqrt(x)\sqrt{2+\sqrt{3)sqrt(x)}}

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derivative of

2 + 3 x

\frac{3}{4 x 2 + 3 x}

Solution steps

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

Apply the chain rule:

\frac{1}{2 2 + 3 x} \frac{d}{d x} (2 + 3 x)

= \frac{1}{2 2 + 3 x} \frac{d}{d x} (2 + 3 x)

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

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

Simplify

\frac{1}{2 2 + 3 x} \cdot \frac{3}{2 x} : \frac{3}{4 x 2 + 3 x}

= \frac{3}{4 x 2 + 3 x}

\frac{d}{d x} (cos^{2} (3 x))

\frac{\partial}{\partial x} (- sin (x^{2} y) \cdot x^{2})

\frac{\partial}{\partial y} (\frac{( 3 x + y )}{z})

\frac{d}{d x} (4^{5 x})

\int x (x + 2)^{5} d x

What is the derivative of sqrt(2+\sqrt{3x)} ?
The derivative of sqrt(2+\sqrt{3x)} is (sqrt(3))/(4sqrt(x)\sqrt{2+\sqrt{3)sqrt(x)}}
What is the first derivative of sqrt(2+\sqrt{3x)} ?
The first derivative of sqrt(2+\sqrt{3x)} is (sqrt(3))/(4sqrt(x)\sqrt{2+\sqrt{3)sqrt(x)}}