What is the derivative of 20x^{12/5}-6x^{2/13} ?

The derivative of 20x^{12/5}-6x^{2/13} is (-12+624x^{146/65})/(13x^{11/13)}

What is the first derivative of 20x^{12/5}-6x^{2/13} ?

The first derivative of 20x^{12/5}-6x^{2/13} is (-12+624x^{146/65})/(13x^{11/13)}

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\frac{d}{d x} (20 x^{\frac{12}{5}} - 6 x^{\frac{2}{13}})

\frac{- 12 + 624 x ^{\frac{146}{65}}}{13 x ^{\frac{11}{13}}}

Solution steps

\frac{d}{d x} (20 x^{\frac{12}{5}} - 6 x^{\frac{2}{13}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (20 x^{\frac{12}{5}}) - \frac{d}{d x} (6 x^{\frac{2}{13}})

\frac{d}{d x} (20 x^{\frac{12}{5}}) = 48 x^{\frac{7}{5}}

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

= 48 x^{\frac{7}{5}} - \frac{12}{13 x ^{\frac{11}{13}}}

Simplify

48 x^{\frac{7}{5}} - \frac{12}{13 x ^{\frac{11}{13}}} : \frac{- 12 + 624 x ^{\frac{146}{65}}}{13 x ^{\frac{11}{13}}}

= \frac{- 12 + 624 x ^{\frac{146}{65}}}{13 x ^{\frac{11}{13}}}

\frac{s + 3}{( s + 3 ) ^{2} + 25}

\int sec^{3} (6 x) d x

- x, x, - 2 x + 6

\int \frac{x - x ^{2}}{2 3 x} d x

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

What is the derivative of 20x^{12/5}-6x^{2/13} ?
The derivative of 20x^{12/5}-6x^{2/13} is (-12+624x^{146/65})/(13x^{11/13)}
What is the first derivative of 20x^{12/5}-6x^{2/13} ?
The first derivative of 20x^{12/5}-6x^{2/13} is (-12+624x^{146/65})/(13x^{11/13)}