What is the derivative of x^{sqrt(5)} ?

The derivative of x^{sqrt(5)} is sqrt(5)x^{sqrt(5)-1}

What is the first derivative of x^{sqrt(5)} ?

The first derivative of x^{sqrt(5)} is sqrt(5)x^{sqrt(5)-1}

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

5 x^{5 - 1}

Solution steps

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

Apply the Power Rule:

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

= 5 x^{5 - 1}

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y^{^{'}} + \frac{y}{x} = 2 x^{4} y^{2}

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What is the derivative of x^{sqrt(5)} ?
The derivative of x^{sqrt(5)} is sqrt(5)x^{sqrt(5)-1}
What is the first derivative of x^{sqrt(5)} ?
The first derivative of x^{sqrt(5)} is sqrt(5)x^{sqrt(5)-1}