What is the derivative of 2x+5x^{2/5} ?

The derivative of 2x+5x^{2/5} is 2+2/(x^{3/5)}

What is the first derivative of 2x+5x^{2/5} ?

The first derivative of 2x+5x^{2/5} is 2+2/(x^{3/5)}

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derivative of

2 x + 5 x^{\frac{2}{5}}

2 + \frac{2}{x ^{\frac{3}{5}}}

Solution steps

\frac{d}{d x} (2 x + 5 x^{\frac{2}{5}})

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (5 x^{\frac{2}{5}}) = \frac{2}{x ^{\frac{3}{5}}}

= 2 + \frac{2}{x ^{\frac{3}{5}}}

What is the derivative of 2x+5x^{2/5} ?
The derivative of 2x+5x^{2/5} is 2+2/(x^{3/5)}
What is the first derivative of 2x+5x^{2/5} ?
The first derivative of 2x+5x^{2/5} is 2+2/(x^{3/5)}