What is the derivative of sqrt(5+\sqrt{6x)} ?

The derivative of sqrt(5+\sqrt{6x)} is (sqrt(3))/(2sqrt(2)\sqrt{x)sqrt(5+\sqrt{6)sqrt(x)}}

What is the first derivative of sqrt(5+\sqrt{6x)} ?

The first derivative of sqrt(5+\sqrt{6x)} is (sqrt(3))/(2sqrt(2)\sqrt{x)sqrt(5+\sqrt{6)sqrt(x)}}

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derivative of

5 + 6 x

\frac{3}{2 2 x 5 + 6 x}

Solution steps

\frac{d}{d x} (5 + 6 x)

Apply the chain rule:

\frac{1}{2 5 + 6 x} \frac{d}{d x} (5 + 6 x)

= \frac{1}{2 5 + 6 x} \frac{d}{d x} (5 + 6 x)

\frac{d}{d x} (5 + 6 x) = \frac{3}{2 x}

= \frac{1}{2 5 + 6 x} \cdot \frac{3}{2 x}

Simplify

\frac{1}{2 5 + 6 x} \cdot \frac{3}{2 x} : \frac{3}{2 2 x 5 + 6 x}

= \frac{3}{2 2 x 5 + 6 x}

n = 0 \sum \infty \frac{( x ^{n} )}{n !}

\int x^{14} d x

\int cos (\frac{π}{2}) x d x

y^{^{'}} - 2 y = 2 x y^{3}

(x, y) \to (0, 1) lim (e^{x} y)

What is the derivative of sqrt(5+\sqrt{6x)} ?
The derivative of sqrt(5+\sqrt{6x)} is (sqrt(3))/(2sqrt(2)\sqrt{x)sqrt(5+\sqrt{6)sqrt(x)}}
What is the first derivative of sqrt(5+\sqrt{6x)} ?
The first derivative of sqrt(5+\sqrt{6x)} is (sqrt(3))/(2sqrt(2)\sqrt{x)sqrt(5+\sqrt{6)sqrt(x)}}