What is the derivative of x^{0.1} ?

The derivative of x^{0.1} is (0.1)/(x^{0.9)}

What is the first derivative of x^{0.1} ?

The first derivative of x^{0.1} is (0.1)/(x^{0.9)}

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\frac{d}{d x} (x^{0.1})

\frac{0.1}{x ^{0.9}}

Solution steps

\frac{d}{d x} (x^{0.1})

Apply the Power Rule:

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

= 0.1 x^{0.1 - 1}

Simplify

0.1 x^{0.1 - 1} : \frac{0.1}{x ^{0.9}}

= \frac{0.1}{x ^{0.9}}

\frac{\partial}{\partial y} (arctan (y))

y = x^{2} + 3, (- 2, 4)

\frac{d}{d x} (4^{9 - x^{2}})

\int \frac{1}{1 + y ^{2}} d y

x \to 0 lim (\frac{x ^{2} - 4}{x - 2})

What is the derivative of x^{0.1} ?
The derivative of x^{0.1} is (0.1)/(x^{0.9)}
What is the first derivative of x^{0.1} ?
The first derivative of x^{0.1} is (0.1)/(x^{0.9)}