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The derivative of the function/ x^2-ln(x)

Derivative of x^2-ln(x)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2         
x  - log(x)
$$x^{2} - \log{\left(x \right)}$$ 
x^2 - log(x)
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of is .

      So, the result is:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  1      
- - + 2*x
  x
$$2 x - \frac{1}{x}$$
Simplify
The second derivative [src] 
    1 
2 + --
     2
    x
$$2 + \frac{1}{x^{2}}$$
Simplify
The third derivative [src] 
-2 
---
  3
 x
$$- \frac{2}{x^{3}}$$
Simplify
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