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x^2-1/2x^2
The derivative of the function/ x^2-1/2x^2

Derivative of x^2-1/2x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
      2
 2   x 
x  - --
     2
$$- \frac{x^{2}}{2} + x^{2}$$ 
  /      2\
d | 2   x |
--|x  - --|
dx\     2 /
$$\frac{d}{d x} \left(- \frac{x^{2}}{2} + x^{2}\right)$$
Transform
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 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:

      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] 
x
$$x$$
Simplify
The second derivative [src] 
1
$$1$$
Simplify
The third derivative [src] 
0
$$0$$
Simplify
The graph
Derivative of x^2-1/2x^2
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