What is the derivative of x^4+2/x ?

The derivative of x^4+2/x is 4x^3-2/(x^2)

What is the first derivative of x^4+2/x ?

The first derivative of x^4+2/x is 4x^3-2/(x^2)

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\frac{d}{d x} (x^{4} + \frac{2}{x})

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

Solution steps

\frac{d}{d x} (x^{4} + \frac{2}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (\frac{2}{x})

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

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

= 4 x^{3} - \frac{2}{x ^{2}}

\frac{d}{d x} (3 x^{2} + 2 x + 4)

\int_{0}^{2} \frac{1}{x ^{\frac{1}{3}}} d x

(x^{3})^{^{'}}

f (x) = x - 3

\int 2 x^{6} d x

What is the derivative of x^4+2/x ?
The derivative of x^4+2/x is 4x^3-2/(x^2)
What is the first derivative of x^4+2/x ?
The first derivative of x^4+2/x is 4x^3-2/(x^2)