What is the derivative of f(x)=5x^{4/5}-2x^{2/7} ?

The derivative of f(x)=5x^{4/5}-2x^{2/7} is 4/(x^{1/5)}-4/(7x^{5/7)}

What is the first derivative of f(x)=5x^{4/5}-2x^{2/7} ?

The first derivative of f(x)=5x^{4/5}-2x^{2/7} is 4/(x^{1/5)}-4/(7x^{5/7)}

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derivative of

f (x) = 5 x^{\frac{4}{5}} - 2 x^{\frac{2}{7}}

\frac{4}{x ^{\frac{1}{5}}} - \frac{4}{7 x ^{\frac{5}{7}}}

Solution steps

\frac{d}{d x} (5 x^{\frac{4}{5}} - 2 x^{\frac{2}{7}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 x^{\frac{4}{5}}) - \frac{d}{d x} (2 x^{\frac{2}{7}})

\frac{d}{d x} (5 x^{\frac{4}{5}}) = \frac{4}{x ^{\frac{1}{5}}}

\frac{d}{d x} (2 x^{\frac{2}{7}}) = \frac{4}{7 x ^{\frac{5}{7}}}

= \frac{4}{x ^{\frac{1}{5}}} - \frac{4}{7 x ^{\frac{5}{7}}}

\frac{1}{x + 5}

\int t (2 t - 3 t) d t

\frac{\partial}{\partial z} (- x y z^{2})

\int 7 sec^{3} (3 x) d x

What is the derivative of f(x)=5x^{4/5}-2x^{2/7} ?
The derivative of f(x)=5x^{4/5}-2x^{2/7} is 4/(x^{1/5)}-4/(7x^{5/7)}
What is the first derivative of f(x)=5x^{4/5}-2x^{2/7} ?
The first derivative of f(x)=5x^{4/5}-2x^{2/7} is 4/(x^{1/5)}-4/(7x^{5/7)}