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Derivative of logx-1*(x^2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
          2
log(x) - x 
$$- x^{2} + \log{\left(x \right)}$$
log(x) - x^2
Detail solution
  1. Differentiate term by term:

    1. The derivative of is .

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

      1. Apply the power rule: goes to

      So, the result is:

    The result is:


The answer is:

The graph
The first derivative [src]
1      
- - 2*x
x      
$$- 2 x + \frac{1}{x}$$
The second derivative [src]
 /    1 \
-|2 + --|
 |     2|
 \    x /
$$- (2 + \frac{1}{x^{2}})$$
The third derivative [src]
2 
--
 3
x 
$$\frac{2}{x^{3}}$$