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Popular >

derivative of 3-7/(2x^{1/8})

Solution

\frac{d}{d x} (3 - \frac{7}{2 x ^{\frac{1}{8}}})

Solution

\frac{7}{16 x ^{\frac{9}{8}}}

Solution steps

\frac{d}{d x} (3 - \frac{7}{2 x ^{\frac{1}{8}}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3) - \frac{d}{d x} (\frac{7}{2 x ^{\frac{1}{8}}})

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

\frac{d}{d x} (\frac{7}{2 x ^{\frac{1}{8}}}) = - \frac{7}{16 x ^{\frac{9}{8}}}

= 0 - (- \frac{7}{16 x ^{\frac{9}{8}}})

Simplify

= \frac{7}{16 x ^{\frac{9}{8}}}

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Frequently Asked Questions (FAQ)

What is the derivative of 3-7/(2x^{1/8}) ?
The derivative of 3-7/(2x^{1/8}) is 7/(16x^{9/8)}
What is the first derivative of 3-7/(2x^{1/8}) ?
The first derivative of 3-7/(2x^{1/8}) is 7/(16x^{9/8)}