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Popular >

derivative of sqrt(9+\sqrt{6x)}

Solution

\frac{d}{d x} (9 + 6 x)

Solution

\frac{3}{2 2 x 9 + 6 x}

Solution steps

\frac{d}{d x} (9 + 6 x)

Apply the chain rule:

\frac{1}{2 9 + 6 x} \frac{d}{d x} (9 + 6 x)

= \frac{1}{2 9 + 6 x} \frac{d}{d x} (9 + 6 x)

\frac{d}{d x} (9 + 6 x) = \frac{3}{2 x}

= \frac{1}{2 9 + 6 x} \cdot \frac{3}{2 x}

Simplify

\frac{1}{2 9 + 6 x} \cdot \frac{3}{2 x} : \frac{3}{2 2 x 9 + 6 x}

= \frac{3}{2 2 x 9 + 6 x}

Popular Examples

derivative of 4-2x^2

\frac{d}{d x} (4 - 2 x^{2})

derivative of x^2e^x-2xe^x+7e^x derivative of

x^{2} e^{x} - 2 x e^{x} + 7 e^{x}

limit as x approaches-1 of x^2+3x+2

x \to - 1 lim (x^{2} + 3 x + 2)

3y^{''}-14y^'+8y=0

3 y^{^{''}} - 14 y^{^{'}} + 8 y = 0

derivative of (x^3/(4-x^2))

\frac{d}{d x} (\frac{x ^{3}}{4 - x ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(9+\sqrt{6x)} ?
The derivative of sqrt(9+\sqrt{6x)} is (sqrt(3))/(2sqrt(2)\sqrt{x)sqrt(9+\sqrt{6)sqrt(x)}}
What is the first derivative of sqrt(9+\sqrt{6x)} ?
The first derivative of sqrt(9+\sqrt{6x)} is (sqrt(3))/(2sqrt(2)\sqrt{x)sqrt(9+\sqrt{6)sqrt(x)}}