What is the derivative of y=x^{2/5}+6x ?

The derivative of y=x^{2/5}+6x is 2/(5x^{3/5)}+6

What is the first derivative of y=x^{2/5}+6x ?

The first derivative of y=x^{2/5}+6x is 2/(5x^{3/5)}+6

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derivative of

y = x^{\frac{2}{5}} + 6 x

\frac{2}{5 x ^{\frac{3}{5}}} + 6

Solution steps

\frac{d}{d x} (x^{\frac{2}{5}} + 6 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{\frac{2}{5}}) + \frac{d}{d x} (6 x)

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

\frac{d}{d x} (6 x) = 6

= \frac{2}{5 x ^{\frac{3}{5}}} + 6

What is the derivative of y=x^{2/5}+6x ?
The derivative of y=x^{2/5}+6x is 2/(5x^{3/5)}+6
What is the first derivative of y=x^{2/5}+6x ?
The first derivative of y=x^{2/5}+6x is 2/(5x^{3/5)}+6