What is the derivative of f(x)=x^4+2/x ?

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

What is the first derivative of f(x)=x^4+2/x ?

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

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derivative of

f (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}}

n = 0 \sum \infty \frac{n}{n ^{2} + 9}

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

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

a x^{2}

\int_{- \infty}^{4} r e^{\frac{r}{2}} d r

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