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

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

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

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

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\frac{d}{d x} (4 + 3 x)

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

Solution steps

\frac{d}{d x} (4 + 3 x)

Apply the chain rule:

\frac{1}{2 4 + 3 x} \frac{d}{d x} (4 + 3 x)

= \frac{1}{2 4 + 3 x} \frac{d}{d x} (4 + 3 x)

\frac{d}{d x} (4 + 3 x) = \frac{3}{2 x}

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

Simplify

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

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

\int cos (\frac{mπ x}{2}) d x

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\frac{d}{d x} (e^{x} x + e^{x})

x (sin (x))

\frac{d}{d x} (- 1 + 4 sin (x))

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