What is the derivative of x^{sqrt(6)} ?

The derivative of x^{sqrt(6)} is sqrt(6)x^{sqrt(6)-1}

What is the first derivative of x^{sqrt(6)} ?

The first derivative of x^{sqrt(6)} is sqrt(6)x^{sqrt(6)-1}

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\frac{d}{d x} (x^{6})

6 x^{6 - 1}

Solution steps

\frac{d}{d x} (x^{6})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 6 x^{6 - 1}

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

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What is the derivative of x^{sqrt(6)} ?
The derivative of x^{sqrt(6)} is sqrt(6)x^{sqrt(6)-1}
What is the first derivative of x^{sqrt(6)} ?
The first derivative of x^{sqrt(6)} is sqrt(6)x^{sqrt(6)-1}