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x^2+2x+4

Derivative of x^2+2x+4

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

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 2          
x  + 2*x + 4
(x2+2x)+4\left(x^{2} + 2 x\right) + 4
x^2 + 2*x + 4
Detail solution
  1. Differentiate (x2+2x)+4\left(x^{2} + 2 x\right) + 4 term by term:

    1. Differentiate x2+2xx^{2} + 2 x term by term:

      1. Apply the power rule: x2x^{2} goes to 2x2 x

      2. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: xx goes to 11

        So, the result is: 22

      The result is: 2x+22 x + 2

    2. The derivative of the constant 44 is zero.

    The result is: 2x+22 x + 2


The answer is:

2x+22 x + 2

The graph
02468-8-6-4-2-1010-200200
The first derivative [src]
2 + 2*x
2x+22 x + 2
The second derivative [src]
2
22
The third derivative [src]
0
00
The graph
Derivative of x^2+2x+4