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x*x
The derivative of the function/ x*x

Derivative of x*x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
x*x
xxx x 
x*x
Detail solution

  1. Apply the product rule:

    ddxf(x)g(x)=f(x)ddxg(x)+g(x)ddxf(x)\frac{d}{d x} f{\left(x \right)} g{\left(x \right)} = f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}

    f(x)=xf{\left(x \right)} = x; to find ddxf(x)\frac{d}{d x} f{\left(x \right)}:

    1. Apply the power rule: xx goes to 11

    g(x)=xg{\left(x \right)} = x; to find ddxg(x)\frac{d}{d x} g{\left(x \right)}:

    1. Apply the power rule: xx goes to 11

    The result is: 2x2 x

The answer is:

2x2 x

The graph
02468-8-6-4-2-1010200-100
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
2*x
2x2 x
Simplify
The second derivative [src] 
2
22
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of x*x
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