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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
x33−x+3\frac{x^{3}}{3} - x + 3 
  /         3\
d |        x |
--|3 - x + --|
dx\        3 /
ddx(x33−x+3)\frac{d}{d x} \left(\frac{x^{3}}{3} - x + 3\right)
Transform
Detail solution

  1. Differentiate x33−x+3\frac{x^{3}}{3} - x + 3 term by term:

    1. The derivative of the constant 33 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: xx goes to 11

      So, the result is: −1-1

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

      1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}

      So, the result is: x2x^{2}

    The result is: x2−1x^{2} - 1

The answer is:

x2−1x^{2} - 1

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
      2
-1 + x
x2−1x^{2} - 1
Simplify
The second derivative [src] 
2*x
2x2 x
Simplify
The third derivative [src] 
2
22
Simplify
The graph
Derivative of 3-x+x^3/3
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