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Derivative of:
Derivative of x+5
Derivative of e^sinx
Derivative of x^2/(x+1)
Derivative of x^1/5
Graphing y =:
x^3/3+1
Integral of d{x}:
x^3/3+1
Identical expressions
x^ three / three + one
x cubed divide by 3 plus 1
x to the power of three divide by three plus one
x3/3+1
x³/3+1
x to the power of 3/3+1
x^3 divide by 3+1
Similar expressions
x^3/3-1

The derivative of the function/ x^3/3+1

Derivative of x^3/3+1

The solution

You have entered [src]

$$\frac{x^{3}}{3} + 1$$

x^3/3 + 1

Detail solution

Differentiate $\frac{x^{3}}{3} + 1$ 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: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $x^{2}$
2. The derivative of the constant $1$ is zero.
The result is: $x^{2}$

The answer is:

$x^{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2
x

$$x^{2}$$

Simplify

The second derivative [src]

2*x

$$2 x$$

Simplify

The third derivative [src]

$$2$$

Simplify