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y*y
The derivative of the function/ y*y

Derivative of y*y

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
y*y
yyy y 
y*y
Detail solution

  1. Apply the product rule:

    ddyf(y)g(y)=f(y)ddyg(y)+g(y)ddyf(y)\frac{d}{d y} f{\left(y \right)} g{\left(y \right)} = f{\left(y \right)} \frac{d}{d y} g{\left(y \right)} + g{\left(y \right)} \frac{d}{d y} f{\left(y \right)}

    f(y)=yf{\left(y \right)} = y; to find ddyf(y)\frac{d}{d y} f{\left(y \right)}:

    1. Apply the power rule: yy goes to 11

    g(y)=yg{\left(y \right)} = y; to find ddyg(y)\frac{d}{d y} g{\left(y \right)}:

    1. Apply the power rule: yy goes to 11

    The result is: 2y2 y

The answer is:

2y2 y

The graph
02468-8-6-4-2-1010200-100
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
2*y
2y2 y
Simplify
The second derivative [src] 
2
22
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of y*y
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