What is the derivative of y=x^{4/7}+6x ?

The derivative of y=x^{4/7}+6x is 4/(7x^{3/7)}+6

What is the first derivative of y=x^{4/7}+6x ?

The first derivative of y=x^{4/7}+6x is 4/(7x^{3/7)}+6

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derivative of

y = x^{\frac{4}{7}} + 6 x

\frac{4}{7 x ^{\frac{3}{7}}} + 6

Solution steps

\frac{d}{d x} (x^{\frac{4}{7}} + 6 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{\frac{4}{7}}) + \frac{d}{d x} (6 x)

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

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

= \frac{4}{7 x ^{\frac{3}{7}}} + 6

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x \to 0 lim (\frac{1}{x} - \frac{1}{e ^{x} - 1})

What is the derivative of y=x^{4/7}+6x ?
The derivative of y=x^{4/7}+6x is 4/(7x^{3/7)}+6
What is the first derivative of y=x^{4/7}+6x ?
The first derivative of y=x^{4/7}+6x is 4/(7x^{3/7)}+6