Mister Exam

Derivative of x^2-5x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 2      
x  - 5*x
x25xx^{2} - 5 x
x^2 - 5*x
Detail solution
  1. Differentiate x25xx^{2} - 5 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: 5-5

    The result is: 2x52 x - 5


The answer is:

2x52 x - 5

The graph
02468-8-6-4-2-1010-200200
The first derivative [src]
-5 + 2*x
2x52 x - 5
The second derivative [src]
2
22
The third derivative [src]
0
00
The graph
Derivative of x^2-5x