What is the derivative of 8x^3+2x+7x^{1/3} ?

The derivative of 8x^3+2x+7x^{1/3} is (7+72x^{8/3})/(3x^{2/3)}+2

What is the first derivative of 8x^3+2x+7x^{1/3} ?

The first derivative of 8x^3+2x+7x^{1/3} is (7+72x^{8/3})/(3x^{2/3)}+2

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derivative of

8 x^{3} + 2 x + 7 x^{\frac{1}{3}}

\frac{7 + 72 x ^{\frac{8}{3}}}{3 x ^{\frac{2}{3}}} + 2

Solution steps

\frac{d}{d x} (8 x^{3} + 2 x + 7 x^{\frac{1}{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x^{3}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (7 x^{\frac{1}{3}})

\frac{d}{d x} (8 x^{3}) = 24 x^{2}

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

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

= 24 x^{2} + 2 + \frac{7}{3 x ^{\frac{2}{3}}}

Combine the fractions

\frac{7}{3 x ^{\frac{2}{3}}} + 24 x^{2} : \frac{7 + 72 x ^{\frac{8}{3}}}{3 x ^{\frac{2}{3}}}

= \frac{7 + 72 x ^{\frac{8}{3}}}{3 x ^{\frac{2}{3}}} + 2

\int e^{x} + x e^{x} d x

\frac{d}{d x} ((x^{2} - 2 x) e^{x})

\int x sin (- 3 x) d x

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What is the derivative of 8x^3+2x+7x^{1/3} ?
The derivative of 8x^3+2x+7x^{1/3} is (7+72x^{8/3})/(3x^{2/3)}+2
What is the first derivative of 8x^3+2x+7x^{1/3} ?
The first derivative of 8x^3+2x+7x^{1/3} is (7+72x^{8/3})/(3x^{2/3)}+2