What is the derivative of f(x)=2x+3/x ?

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

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

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

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derivative of

f (x) = 2 x + \frac{3}{x}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to 4 lim (\frac{5}{x + 2})

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

(0, 2), (- 1, - 1)

\int_{- 1}^{1} (t^{2} - 2) d t

x \to \infty lim (- 5 π x)

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