What is the derivative of 1/(2sqrt(r))+1/(8r^{7/8)} ?

The derivative of 1/(2sqrt(r))+1/(8r^{7/8)} is -1/(4r^{3/2)}-7/(64r^{15/8)}

What is the first derivative of 1/(2sqrt(r))+1/(8r^{7/8)} ?

The first derivative of 1/(2sqrt(r))+1/(8r^{7/8)} is -1/(4r^{3/2)}-7/(64r^{15/8)}

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derivative of

\frac{1}{2 r} + \frac{1}{8 r ^{\frac{7}{8}}}

- \frac{1}{4 r ^{\frac{3}{2}}} - \frac{7}{64 r ^{\frac{15}{8}}}

Solution steps

\frac{d}{d r} (\frac{1}{2 r} + \frac{1}{8 r ^{\frac{7}{8}}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d r} (\frac{1}{2 r}) + \frac{d}{d r} (\frac{1}{8 r ^{\frac{7}{8}}})

\frac{d}{d r} (\frac{1}{2 r}) = - \frac{1}{4 r ^{\frac{3}{2}}}

\frac{d}{d r} (\frac{1}{8 r ^{\frac{7}{8}}}) = - \frac{7}{64 r ^{\frac{15}{8}}}

= - \frac{1}{4 r ^{\frac{3}{2}}} - \frac{7}{64 r ^{\frac{15}{8}}}

\int_{0}^{l n (4)} \frac{e ^{x}}{e ^{2 x} + 25} d x

\frac{d}{d x} (ln (csc (x) - tan (x)))

x \to - \infty lim (\frac{1}{x} + 3)

\frac{d}{d x} (4 x e^{3 x})

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What is the derivative of 1/(2sqrt(r))+1/(8r^{7/8)} ?
The derivative of 1/(2sqrt(r))+1/(8r^{7/8)} is -1/(4r^{3/2)}-7/(64r^{15/8)}
What is the first derivative of 1/(2sqrt(r))+1/(8r^{7/8)} ?
The first derivative of 1/(2sqrt(r))+1/(8r^{7/8)} is -1/(4r^{3/2)}-7/(64r^{15/8)}