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

The derivative of sqrt(3x\sqrt{3x\sqrt{3x)}} is (21\sqrt[4]{3}x^{3/4})/(8sqrt(3^{3/4)x^{7/4)}}

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

The first derivative of sqrt(3x\sqrt{3x\sqrt{3x)}} is (21\sqrt[4]{3}x^{3/4})/(8sqrt(3^{3/4)x^{7/4)}}

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Popular >

derivative of

3 x 3 x 3 x

\frac{21 4 3 x ^{\frac{3}{4}}}{8 3 ^{\frac{3}{4}} x ^{\frac{7}{4}}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x 3 x 3 x) = \frac{21 \cdot 3 ^{\frac{3}{4}} x ^{\frac{3}{4}}}{4}

= \frac{1}{2 3 x 3 x 3 x} \cdot \frac{21 \cdot 3 ^{\frac{3}{4}} x ^{\frac{3}{4}}}{4}

Simplify

\frac{1}{2 3 x 3 x 3 x} \cdot \frac{21 \cdot 3 ^{\frac{3}{4}} x ^{\frac{3}{4}}}{4} : \frac{21 4 3 x ^{\frac{3}{4}}}{8 3 ^{\frac{3}{4}} x ^{\frac{7}{4}}}

= \frac{21 4 3 x ^{\frac{3}{4}}}{8 3 ^{\frac{3}{4}} x ^{\frac{7}{4}}}

\frac{d}{d x} (\frac{- 24}{x ^{5}})

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

\int (2 e^{2 x}) d x

\int \frac{1}{5 x ^{6}} d x

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

What is the derivative of sqrt(3x\sqrt{3x\sqrt{3x)}} ?
The derivative of sqrt(3x\sqrt{3x\sqrt{3x)}} is (21\sqrt[4]{3}x^{3/4})/(8sqrt(3^{3/4)x^{7/4)}}
What is the first derivative of sqrt(3x\sqrt{3x\sqrt{3x)}} ?
The first derivative of sqrt(3x\sqrt{3x\sqrt{3x)}} is (21\sqrt[4]{3}x^{3/4})/(8sqrt(3^{3/4)x^{7/4)}}