What is the derivative of f(x)=x^{6/7} ?

The derivative of f(x)=x^{6/7} is 6/(7x^{1/7)}

What is the first derivative of f(x)=x^{6/7} ?

The first derivative of f(x)=x^{6/7} is 6/(7x^{1/7)}

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derivative of

f (x) = x^{\frac{6}{7}}

\frac{6}{7 x ^{\frac{1}{7}}}

Solution steps

\frac{d}{d x} (x^{\frac{6}{7}})

Apply the Power Rule:

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

= \frac{6}{7} x^{\frac{6}{7} - 1}

Simplify

\frac{6}{7} x^{\frac{6}{7} - 1} : \frac{6}{7 x ^{\frac{1}{7}}}

= \frac{6}{7 x ^{\frac{1}{7}}}

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

n = 1 \sum \infty (\frac{4}{5})^{n}

\int_{7}^{8} \frac{7}{50 + x ^{2} - 14 x} d x

\int 2 x^{\frac{5}{2}} d x

x \to 5 lim (f (x))

What is the derivative of f(x)=x^{6/7} ?
The derivative of f(x)=x^{6/7} is 6/(7x^{1/7)}
What is the first derivative of f(x)=x^{6/7} ?
The first derivative of f(x)=x^{6/7} is 6/(7x^{1/7)}