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Derivative of:
Derivative of x^2+x+1
Derivative of x*2
Derivative of (x^2-1)^2
Derivative of 1/x^10
Factor polynomial:
x^2+x+1
Graphing y =:
x^2+x+1
Factor squared:
x^2+x+1
Identical expressions
x^ two +x+ one
x squared plus x plus 1
x to the power of two plus x plus one
x2+x+1
x²+x+1
x to the power of 2+x+1
Similar expressions
x^2-x+1
x^2+x-1

The derivative of the function/ x^2+x+1

Derivative of x^2+x+1

The solution

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 2        
x  + x + 1

$$\left(x^{2} + x\right) + 1$$

x^2 + x + 1

Detail solution

Differentiate $\left(x^{2} + x\right) + 1$ term by term:
1. Differentiate $x^{2} + x$ term by term:
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  2. Apply the power rule: $x$ goes to $1$
  The result is: $2 x + 1$
2. The derivative of the constant $1$ is zero.
The result is: $2 x + 1$

The answer is:

$2 x + 1$

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]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2+x+1