What is the derivative of x^2+(2a^3/x) ?

The derivative of x^2+(2a^3/x) is 2x-(2a^3)/(x^2)

What is the first derivative of x^2+(2a^3/x) ?

The first derivative of x^2+(2a^3/x) is 2x-(2a^3)/(x^2)

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\frac{d}{d x} (x^{2} + \frac{2 a ^{3}}{x})

2 x - \frac{2 a ^{3}}{x ^{2}}

Solution steps

\frac{d}{d x} (x^{2} + \frac{2 a ^{3}}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (\frac{2 a ^{3}}{x})

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (\frac{2 a ^{3}}{x}) = - \frac{2 a ^{3}}{x ^{2}}

= 2 x - \frac{2 a ^{3}}{x ^{2}}

x \to + 3 - lim (\frac{3}{x ^{2} - 9})

x^{^{'}} = x

x \to 0 + lim (sin (x) ln (x))

\frac{d}{d x} (\frac{2 x - 8}{4 x - 3})

\frac{d}{d x} (\frac{cos ( 4 x )}{x})

What is the derivative of x^2+(2a^3/x) ?
The derivative of x^2+(2a^3/x) is 2x-(2a^3)/(x^2)
What is the first derivative of x^2+(2a^3/x) ?
The first derivative of x^2+(2a^3/x) is 2x-(2a^3)/(x^2)