What is the derivative of x^{9/10} ?

The derivative of x^{9/10} is 9/(10x^{1/10)}

What is the first derivative of x^{9/10} ?

The first derivative of x^{9/10} is 9/(10x^{1/10)}

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\frac{d}{d x} (x^{\frac{9}{10}})

\frac{9}{10 x ^{\frac{1}{10}}}

Solution steps

\frac{d}{d x} (x^{\frac{9}{10}})

Apply the Power Rule:

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

= \frac{9}{10} x^{\frac{9}{10} - 1}

Simplify

\frac{9}{10} x^{\frac{9}{10} - 1} : \frac{9}{10 x ^{\frac{1}{10}}}

= \frac{9}{10 x ^{\frac{1}{10}}}

\frac{d P}{d t} + 2 tP = P + 4 t - 2

n = 1 \sum \infty n^{5} (1 + n^{6})^{5}

\frac{d}{d x} ((x^{- 2} + x^{- 3}) (x^{5} - 2 x^{2}))

\int cos^{5} (2 y) d y

\frac{d}{d x} (cos (x^{- 3}))

What is the derivative of x^{9/10} ?
The derivative of x^{9/10} is 9/(10x^{1/10)}
What is the first derivative of x^{9/10} ?
The first derivative of x^{9/10} is 9/(10x^{1/10)}