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Popular >

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

Solution

derivative of

f (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}}}

Graph

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Frequently Asked Questions (FAQ)

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