What is the derivative of 20x^{7/5}-6x^{2/13} ?

The derivative of 20x^{7/5}-6x^{2/13} is (-12+364x^{81/65})/(13x^{11/13)}

What is the first derivative of 20x^{7/5}-6x^{2/13} ?

The first derivative of 20x^{7/5}-6x^{2/13} is (-12+364x^{81/65})/(13x^{11/13)}

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derivative of

20 x^{\frac{7}{5}} - 6 x^{\frac{2}{13}}

\frac{- 12 + 364 x ^{\frac{81}{65}}}{13 x ^{\frac{11}{13}}}

Solution steps

\frac{d}{d x} (20 x^{\frac{7}{5}} - 6 x^{\frac{2}{13}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (20 x^{\frac{7}{5}}) - \frac{d}{d x} (6 x^{\frac{2}{13}})

\frac{d}{d x} (20 x^{\frac{7}{5}}) = 28 x^{\frac{2}{5}}

\frac{d}{d x} (6 x^{\frac{2}{13}}) = \frac{12}{13 x ^{\frac{11}{13}}}

= 28 x^{\frac{2}{5}} - \frac{12}{13 x ^{\frac{11}{13}}}

Simplify

28 x^{\frac{2}{5}} - \frac{12}{13 x ^{\frac{11}{13}}} : \frac{- 12 + 364 x ^{\frac{81}{65}}}{13 x ^{\frac{11}{13}}}

= \frac{- 12 + 364 x ^{\frac{81}{65}}}{13 x ^{\frac{11}{13}}}

\int 2 e^{- 2 t} d t

x^{5}

\int csc^{2} (\frac{x}{3}) d x

\frac{\partial}{\partial y} (5 y^{2} e^{5 x y})

\int sin (wt) d t

What is the derivative of 20x^{7/5}-6x^{2/13} ?
The derivative of 20x^{7/5}-6x^{2/13} is (-12+364x^{81/65})/(13x^{11/13)}
What is the first derivative of 20x^{7/5}-6x^{2/13} ?
The first derivative of 20x^{7/5}-6x^{2/13} is (-12+364x^{81/65})/(13x^{11/13)}