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Popular >

derivative of \sqrt[3]{x^2}+2sqrt(x^5)

Solution

Solution

\frac{2 + 15 x ^{\frac{11}{6}}}{3 x ^{\frac{1}{3}}}

Solution steps

Apply the Sum/Difference Rule:

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

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

= \frac{2}{3 x ^{\frac{1}{3}}} + 5 x^{\frac{3}{2}}

Simplify

\frac{2}{3 x ^{\frac{1}{3}}} + 5 x^{\frac{3}{2}} : \frac{2 + 15 x ^{\frac{11}{6}}}{3 x ^{\frac{1}{3}}}

= \frac{2 + 15 x ^{\frac{11}{6}}}{3 x ^{\frac{1}{3}}}

Popular Examples

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x \to \infty lim (\frac{3 x ^{2} + 10 x - 7}{2 x ^{2} - 5 x})

y^{''}-6y^'+25y=-45cos(2t)+30sin(2t)

y^{^{''}} - 6 y^{^{'}} + 25 y = - 45 cos (2 t) + 30 sin (2 t)

derivative of ln(coth(x))

\frac{d}{d x} (ln (coth (x)))

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Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[3]{x^2}+2sqrt(x^5) ?
The derivative of \sqrt[3]{x^2}+2sqrt(x^5) is (2+15x^{11/6})/(3x^{1/3)}
What is the first derivative of \sqrt[3]{x^2}+2sqrt(x^5) ?
The first derivative of \sqrt[3]{x^2}+2sqrt(x^5) is (2+15x^{11/6})/(3x^{1/3)}