Mister Exam

Derivative of 4x^2-3x

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

The graph:

from to

Piecewise:

The solution

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   2      
4*x  - 3*x
4x23x4 x^{2} - 3 x
4*x^2 - 3*x
Detail solution
  1. Differentiate 4x23x4 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: 8x8 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: 8x38 x - 3


The answer is:

8x38 x - 3

The graph
02468-8-6-4-2-1010-500500
The first derivative [src]
-3 + 8*x
8x38 x - 3
The second derivative [src]
8
88
The third derivative [src]
0
00
The graph
Derivative of 4x^2-3x