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x^3-4x^2-3x

Derivative of x^3-4x^2-3x

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

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The solution

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 3      2      
x  - 4*x  - 3*x
3x+(x34x2)- 3 x + \left(x^{3} - 4 x^{2}\right)
x^3 - 4*x^2 - 3*x
Detail solution
  1. Differentiate 3x+(x34x2)- 3 x + \left(x^{3} - 4 x^{2}\right) term by term:

    1. Differentiate x34x2x^{3} - 4 x^{2} term by term:

      1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}

      2. 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: 8x- 8 x

      The result is: 3x28x3 x^{2} - 8 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: 3x28x33 x^{2} - 8 x - 3


The answer is:

3x28x33 x^{2} - 8 x - 3

The graph
02468-8-6-4-2-1010-20002000
The first derivative [src]
              2
-3 - 8*x + 3*x 
3x28x33 x^{2} - 8 x - 3
The second derivative [src]
2*(-4 + 3*x)
2(3x4)2 \left(3 x - 4\right)
The third derivative [src]
6
66
The graph
Derivative of x^3-4x^2-3x