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-x^2+4x+2

Derivative of -x^2+4x+2

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2          
- x  + 4*x + 2
$$\left(- x^{2} + 4 x\right) + 2$$
-x^2 + 4*x + 2
Detail solution
  1. Differentiate term by term:

    1. Differentiate 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: goes to

        So, the result is:

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

        1. Apply the power rule: goes to

        So, the result is:

      The result is:

    2. The derivative of the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
4 - 2*x
$$4 - 2 x$$
The second derivative [src]
-2
$$-2$$
The third derivative [src]
0
$$0$$
The graph
Derivative of -x^2+4x+2