What is the derivative of x^{0.45} ?

The derivative of x^{0.45} is (0.45)/(x^{0.55)}

What is the first derivative of x^{0.45} ?

The first derivative of x^{0.45} is (0.45)/(x^{0.55)}

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\frac{d}{d x} (x^{0.45})

\frac{0.45}{x ^{0.55}}

Solution steps

\frac{d}{d x} (x^{0.45})

Apply the Power Rule:

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

= 0.45 x^{0.45 - 1}

Simplify

0.45 x^{0.45 - 1} : \frac{0.45}{x ^{0.55}}

= \frac{0.45}{x ^{0.55}}

\frac{\partial}{\partial x} (ln (x^{4} + y^{4}))

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What is the derivative of x^{0.45} ?
The derivative of x^{0.45} is (0.45)/(x^{0.55)}
What is the first derivative of x^{0.45} ?
The first derivative of x^{0.45} is (0.45)/(x^{0.55)}