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

You entered:

x^2/2

What you mean?

x^2/2
 
x^1
 
x^1

Derivative of x^2/2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2
x 
--
2
x22\frac{x^{2}}{2} 
  / 2\
d |x |
--|--|
dx\2 /
ddxx22\frac{d}{d x} \frac{x^{2}}{2}
Transform
Detail solution

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

    1. Apply the power rule: x2x^{2} goes to 2x2 x

    So, the result is: xx

The answer is:

xx

The graph
02468-8-6-4-2-1010-50100
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
x
xx
Simplify
The second derivative [src] 
1
11
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of x^2/2
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