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y=x/1+x²
The derivative of the function/ y=x/1+x²

Derivative of y=x/1+x²

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
x    2
- + x 
1
$$x^{2} + \frac{x}{1}$$ 
x/1 + x^2
Detail solution

  1. Differentiate term by term:

    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:

    2. Apply the power rule: goes to

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
1 + 2*x
$$2 x + 1$$
Simplify
The second derivative [src] 
2
$$2$$
Simplify
3-я производная [src] 
0
$$0$$
Simplify
The third derivative [src] 
0
$$0$$
Simplify
The graph
Derivative of y=x/1+x²
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