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Derivative of:
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Derivative of (x-1)/2
Derivative of sin(x)*sin(x)
Graphing y =:
3-x+x^3/3
Identical expressions
three -x+x^ three / three
3 minus x plus x cubed divide by 3
three minus x plus x to the power of three divide by three
3-x+x3/3
3-x+x³/3
3-x+x to the power of 3/3
3-x+x^3 divide by 3
Similar expressions
3-x-x^3/3
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

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

The solution

You have entered [src]

$$\frac{x^{3}}{3} - x + 3$$

  /         3\
d |        x |
--|3 - x + --|
dx\        3 /

$$\frac{d}{d x} \left(\frac{x^{3}}{3} - x + 3\right)$$

Transform

Detail solution

Differentiate $\frac{x^{3}}{3} - x + 3$ term by term:
1. The derivative of the constant $3$ 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: $x$ goes to $1$
  So, the result is: $-1$
3. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $x^{2}$
The result is: $x^{2} - 1$

The answer is:

$x^{2} - 1$

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]

$$2$$

Simplify

The graph

Derivative of 3-x+x^3/3