Mister Exam

Derivative of x^2-x+1

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

The graph:

from to

Piecewise:

The solution

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 2        
x  - x + 1
(x2x)+1\left(x^{2} - x\right) + 1
x^2 - x + 1
Detail solution
  1. Differentiate (x2x)+1\left(x^{2} - x\right) + 1 term by term:

    1. Differentiate x2xx^{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: 1-1

      The result is: 2x12 x - 1

    2. The derivative of the constant 11 is zero.

    The result is: 2x12 x - 1


The answer is:

2x12 x - 1

The graph
02468-8-6-4-2-1010200-100
The first derivative [src]
-1 + 2*x
2x12 x - 1
The second derivative [src]
2
22
The third derivative [src]
0
00
The graph
Derivative of x^2-x+1