Mister Exam

Derivative of 2x^2-3x+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2          
2*x  - 3*x + 1
2x23x+12 x^{2} - 3 x + 1
d /   2          \
--\2*x  - 3*x + 1/
dx                
ddx(2x23x+1)\frac{d}{d x} \left(2 x^{2} - 3 x + 1\right)
Detail solution
  1. Differentiate 2x23x+12 x^{2} - 3 x + 1 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: x2x^{2} goes to 2x2 x

      So, the result is: 4x4 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: 33

      So, the result is: 3-3

    3. The derivative of the constant 11 is zero.

    The result is: 4x34 x - 3


The answer is:

4x34 x - 3

The graph
02468-8-6-4-2-1010-250250
The first derivative [src]
-3 + 4*x
4x34 x - 3
The second derivative [src]
4
44
The third derivative [src]
0
00
The graph
Derivative of 2x^2-3x+1