What is the derivative of 3x^{4/3}-2x^{1/7} ?

The derivative of 3x^{4/3}-2x^{1/7} is (-2+28x^{25/21})/(7x^{6/7)}

What is the first derivative of 3x^{4/3}-2x^{1/7} ?

The first derivative of 3x^{4/3}-2x^{1/7} is (-2+28x^{25/21})/(7x^{6/7)}

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derivative of

3 x^{\frac{4}{3}} - 2 x^{\frac{1}{7}}

\frac{- 2 + 28 x ^{\frac{25}{21}}}{7 x ^{\frac{6}{7}}}

Solution steps

\frac{d}{d x} (3 x^{\frac{4}{3}} - 2 x^{\frac{1}{7}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{\frac{4}{3}}) - \frac{d}{d x} (2 x^{\frac{1}{7}})

\frac{d}{d x} (3 x^{\frac{4}{3}}) = 4 x^{\frac{1}{3}}

\frac{d}{d x} (2 x^{\frac{1}{7}}) = \frac{2}{7 x ^{\frac{6}{7}}}

= 4 x^{\frac{1}{3}} - \frac{2}{7 x ^{\frac{6}{7}}}

Simplify

4 x^{\frac{1}{3}} - \frac{2}{7 x ^{\frac{6}{7}}} : \frac{- 2 + 28 x ^{\frac{25}{21}}}{7 x ^{\frac{6}{7}}}

= \frac{- 2 + 28 x ^{\frac{25}{21}}}{7 x ^{\frac{6}{7}}}

x \to - 3 lim (\frac{( x ^{2} + 7 x + 12 )}{x ^{2} - 9})

x \to 3 lim (\frac{x ^{2} - 9}{x + 1})

\int 4 cos (6 x) d x

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

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

What is the derivative of 3x^{4/3}-2x^{1/7} ?
The derivative of 3x^{4/3}-2x^{1/7} is (-2+28x^{25/21})/(7x^{6/7)}
What is the first derivative of 3x^{4/3}-2x^{1/7} ?
The first derivative of 3x^{4/3}-2x^{1/7} is (-2+28x^{25/21})/(7x^{6/7)}