Mister Exam

Derivative of x²-4x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 2      
x  - 4*x
x24xx^{2} - 4 x
d / 2      \
--\x  - 4*x/
dx          
ddx(x24x)\frac{d}{d x} \left(x^{2} - 4 x\right)
Detail solution
  1. Differentiate x24xx^{2} - 4 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. 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: 44

      So, the result is: 4-4

    The result is: 2x42 x - 4


The answer is:

2x42 x - 4

The graph
02468-8-6-4-2-1010-200200
The first derivative [src]
-4 + 2*x
2x42 x - 4
The second derivative [src]
2
22
The third derivative [src]
0
00
The graph
Derivative of x²-4x