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3-x+x^3/3
The derivative of the function/ 3-x+x^3/3

You entered:

3-x+x^3/3

What you mean?

3 - x + x^3/3
 
3 - x + x^1
 
(3 - x + x^3)/3
 
3 - (x + x^3)/3
 
3 - x + x^3/3
 
3 - x + x*3/3
 
3 - x + x*3/3

Derivative of 3-x+x^3/3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
         3
        x 
3 - x + --
        3
$$\frac{x^{3}}{3} - x + 3$$ 
  /         3\
d |        x |
--|3 - x + --|
dx\        3 /
$$\frac{d}{d x} \left(\frac{x^{3}}{3} - x + 3\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. The derivative of the constant is zero.

    2. 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:

    3. 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:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
      2
-1 + x
$$x^{2} - 1$$
Simplify
The second derivative [src] 
2*x
$$2 x$$
Simplify
The third derivative [src] 
2
$$2$$
Simplify
The graph
Derivative of 3-x+x^3/3
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