Mister Exam

Derivative of 2x^2-3x-1

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

The graph:

from to

Piecewise:

The solution

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   2          
2*x  - 3*x - 1
(2x23x)1\left(2 x^{2} - 3 x\right) - 1
2*x^2 - 3*x - 1
Detail solution
  1. Differentiate (2x23x)1\left(2 x^{2} - 3 x\right) - 1 term by term:

    1. Differentiate 2x23x2 x^{2} - 3 x 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. Apply the power rule: xx goes to 11

        So, the result is: 3-3

      The result is: 4x34 x - 3

    2. The derivative of the constant 1-1 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