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Popular >

derivative of \sqrt[5]{x}+4sqrt(x^5)

Solution

derivative of

Solution

\frac{1 + 50 x ^{\frac{23}{10}}}{5 x ^{\frac{4}{5}}}

Solution steps

Apply the Sum/Difference Rule:

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

\frac{d}{d x} (4 x^{5}) = 10 x^{\frac{3}{2}}

= \frac{1}{5 x ^{\frac{4}{5}}} + 10 x^{\frac{3}{2}}

Simplify

\frac{1}{5 x ^{\frac{4}{5}}} + 10 x^{\frac{3}{2}} : \frac{1 + 50 x ^{\frac{23}{10}}}{5 x ^{\frac{4}{5}}}

= \frac{1 + 50 x ^{\frac{23}{10}}}{5 x ^{\frac{4}{5}}}

Popular Examples

slope of (-3, 2/5),(4, 3/10)slope

(- 3, \frac{2}{5}), (4, \frac{3}{10})

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h \to 0 lim (\frac{\frac{1}{1 + h} - 1}{h})

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\int \frac{5}{6} x^{\frac{6}{5}} d x

area f(x)=12x+x^2-x^3,g(x)=0 area

f (x) = 12 x + x^{2} - x^{3}, g (x) = 0

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Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[5]{x}+4sqrt(x^5) ?
The derivative of \sqrt[5]{x}+4sqrt(x^5) is (1+50x^{23/10})/(5x^{4/5)}
What is the first derivative of \sqrt[5]{x}+4sqrt(x^5) ?
The first derivative of \sqrt[5]{x}+4sqrt(x^5) is (1+50x^{23/10})/(5x^{4/5)}