What is the derivative of 10x^{1/5} ?

The derivative of 10x^{1/5} is 2/(x^{4/5)}

What is the first derivative of 10x^{1/5} ?

The first derivative of 10x^{1/5} is 2/(x^{4/5)}

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\frac{d}{d x} (10 x^{\frac{1}{5}})

\frac{2}{x ^{\frac{4}{5}}}

Solution steps

\frac{d}{d x} (10 x^{\frac{1}{5}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{d}{d x} (x^{\frac{1}{5}})

Apply the Power Rule:

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

= 10 \cdot \frac{1}{5} x^{\frac{1}{5} - 1}

Simplify

10 \cdot \frac{1}{5} x^{\frac{1}{5} - 1} : \frac{2}{x ^{\frac{4}{5}}}

= \frac{2}{x ^{\frac{4}{5}}}

\frac{d}{d x} (\frac{x ^{2}}{x + 2})

x^{\frac{11}{2}}, x = 1

f (x) = - 3 x^{\frac{3}{2}} - 1, at x = 4

f (x) = e^{1 - 2 x} (x + cos (2 x))

f (x) = x^{3} + x^{2} + 1, g (x) = 2 x + 1

What is the derivative of 10x^{1/5} ?
The derivative of 10x^{1/5} is 2/(x^{4/5)}
What is the first derivative of 10x^{1/5} ?
The first derivative of 10x^{1/5} is 2/(x^{4/5)}