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Popular >

derivative of 4-9/(2x^{1/10})

Solution

\frac{d}{d x} (4 - \frac{9}{2 x ^{\frac{1}{10}}})

Solution

\frac{9}{20 x ^{\frac{11}{10}}}

Solution steps

\frac{d}{d x} (4 - \frac{9}{2 x ^{\frac{1}{10}}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (\frac{9}{2 x ^{\frac{1}{10}}})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (\frac{9}{2 x ^{\frac{1}{10}}}) = - \frac{9}{20 x ^{\frac{11}{10}}}

= 0 - (- \frac{9}{20 x ^{\frac{11}{10}}})

Simplify

= \frac{9}{20 x ^{\frac{11}{10}}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 4-9/(2x^{1/10}) ?
The derivative of 4-9/(2x^{1/10}) is 9/(20x^{11/10)}
What is the first derivative of 4-9/(2x^{1/10}) ?
The first derivative of 4-9/(2x^{1/10}) is 9/(20x^{11/10)}