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Popular >

derivative of 3-(18/(5x^{1/10)})

Solution

\frac{d}{d x} (3 - \frac{18}{5 x ^{\frac{1}{10}}})

Solution

\frac{9}{25 x ^{\frac{11}{10}}}

Solution steps

\frac{d}{d x} (3 - \frac{18}{5 x ^{\frac{1}{10}}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3) - \frac{d}{d x} (\frac{18}{5 x ^{\frac{1}{10}}})

\frac{d}{d x} (3) = 0

\frac{d}{d x} (\frac{18}{5 x ^{\frac{1}{10}}}) = - \frac{9}{25 x ^{\frac{11}{10}}}

= 0 - (- \frac{9}{25 x ^{\frac{11}{10}}})

Simplify

= \frac{9}{25 x ^{\frac{11}{10}}}

Popular Examples

limit as x approaches 0 of arctan(5/x)

x \to 0 lim (arctan (\frac{5}{x}))

integral of 6cos(x)

\int 6 cos (x) d x

derivative of f(x)=sqrt(8-x)derivative of

f (x) = 8 - x

x y^{^{'}} - y = 2 x^{2} y

y^{''}+18y^'+81y=t^{-2}e^{-9t}

y^{^{''}} + 18 y^{^{'}} + 81 y = t^{- 2} e^{- 9 t}

Frequently Asked Questions (FAQ)

What is the derivative of 3-(18/(5x^{1/10)}) ?
The derivative of 3-(18/(5x^{1/10)}) is 9/(25x^{11/10)}
What is the first derivative of 3-(18/(5x^{1/10)}) ?
The first derivative of 3-(18/(5x^{1/10)}) is 9/(25x^{11/10)}