What is the derivative of 1/(2sqrt(r))+1/(3r^{2/3)} ?

The derivative of 1/(2sqrt(r))+1/(3r^{2/3)} is -1/(4r^{3/2)}-2/(9r^{5/3)}

What is the first derivative of 1/(2sqrt(r))+1/(3r^{2/3)} ?

The first derivative of 1/(2sqrt(r))+1/(3r^{2/3)} is -1/(4r^{3/2)}-2/(9r^{5/3)}

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derivative of

\frac{1}{2 r} + \frac{1}{3 r ^{\frac{2}{3}}}

- \frac{1}{4 r ^{\frac{3}{2}}} - \frac{2}{9 r ^{\frac{5}{3}}}

Solution steps

\frac{d}{d r} (\frac{1}{2 r} + \frac{1}{3 r ^{\frac{2}{3}}})

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}{3 r ^{\frac{2}{3}}})

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

\frac{d}{d r} (\frac{1}{3 r ^{\frac{2}{3}}}) = - \frac{2}{9 r ^{\frac{5}{3}}}

= - \frac{1}{4 r ^{\frac{3}{2}}} - \frac{2}{9 r ^{\frac{5}{3}}}

y \to \infty lim (\frac{1}{5} (2 y^{2} + 3 y) x)

2 - x^{2}, 10 - 6 x

\int_{0}^{0.4} 300 x d x

\frac{d}{d x} (x^{2} lo g_{2} (x^{3}))

What is the derivative of 1/(2sqrt(r))+1/(3r^{2/3)} ?
The derivative of 1/(2sqrt(r))+1/(3r^{2/3)} is -1/(4r^{3/2)}-2/(9r^{5/3)}
What is the first derivative of 1/(2sqrt(r))+1/(3r^{2/3)} ?
The first derivative of 1/(2sqrt(r))+1/(3r^{2/3)} is -1/(4r^{3/2)}-2/(9r^{5/3)}