What is the derivative of x^{99/100} ?

The derivative of x^{99/100} is (99)/(100x^{1/100)}

What is the first derivative of x^{99/100} ?

The first derivative of x^{99/100} is (99)/(100x^{1/100)}

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derivative of

x^{\frac{99}{100}}

\frac{99}{100 x ^{\frac{1}{100}}}

Solution steps

\frac{d}{d x} (x^{\frac{99}{100}})

Apply the Power Rule:

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

= \frac{99}{100} x^{\frac{99}{100} - 1}

Simplify

\frac{99}{100} x^{\frac{99}{100} - 1} : \frac{99}{100 x ^{\frac{1}{100}}}

= \frac{99}{100 x ^{\frac{1}{100}}}

\frac{d}{d x} (d cos (t) + t^{2} sin (t))

f (x) = ln (x), at x = - \frac{1}{2}

\frac{d x}{d t} = x^{2} + \frac{1}{25}

y = 6 x + 4 x - x^{2}, y = 2 x - 2

f (x) = x^{6} cos (x)

What is the derivative of x^{99/100} ?
The derivative of x^{99/100} is (99)/(100x^{1/100)}
What is the first derivative of x^{99/100} ?
The first derivative of x^{99/100} is (99)/(100x^{1/100)}