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Derivative of:
Derivative of -x^4
Derivative of x^2*cos(2*x)
Derivative of y=1/2sin2x
Derivative of x^2/(x^2+3)
Graphing y =:
x^2+2/x
Integral of d{x}:
x^2+2/x
Limit of the function:
x^2+2/x
Identical expressions
x^ two + two /x
x squared plus 2 divide by x
x to the power of two plus two divide by x
x2+2/x
x²+2/x
x to the power of 2+2/x
x^2+2 divide by x
Similar expressions
(x^2+2)/(x-2)-2*sin(x)
x^2-2/x

The derivative of the function/ x^2+2/x

Derivative of x^2+2/x

The solution

You have entered [src]

 2   2
x  + -
     x

$$x^{2} + \frac{2}{x}$$

x^2 + 2/x

Detail solution

Differentiate $x^{2} + \frac{2}{x}$ term by term:
1. Apply the power rule: $x^{2}$ goes to $2 x$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
  So, the result is: $- \frac{2}{x^{2}}$
The result is: $2 x - \frac{2}{x^{2}}$

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

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

Simplify

The second derivative [src]

  /    2 \
2*|1 + --|
  |     3|
  \    x /

$$2 \left(1 + \frac{2}{x^{3}}\right)$$

Simplify

The third derivative [src]

-12 
----
  4 
 x

$$- \frac{12}{x^{4}}$$

Simplify

The graph

Derivative of x^2+2/x