Mister Exam

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The derivative of the function/ x^2+x+4

Derivative of x^2+x+4

The solution

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 2        
x  + x + 4

$$\left(x^{2} + x\right) + 4$$

x^2 + x + 4

Detail solution

Differentiate $\left(x^{2} + x\right) + 4$ 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 $4$ 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