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The derivative of the function/ y=x²+2x+4

Derivative of y=x²+2x+4

The solution

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 2          
x  + 2*x + 4

$$x^{2} + 2 x + 4$$

d / 2          \
--\x  + 2*x + 4/
dx

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

Transform

Detail solution

Differentiate $x^{2} + 2 x + 4$ term by term:
1. Apply the power rule: $x^{2}$ goes to $2 x$
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: $2$
3. The derivative of the constant $4$ is zero.
The result is: $2 x + 2$

The answer is:

$2 x + 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2 + 2*x

$$2 x + 2$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=x²+2x+4