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x^3-4x^2
The derivative of the function/ x^3-4x^2

Derivative of x^3-4x^2

Function f() - derivative -N order at the point
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The solution

You have entered [src] 
 3      2
x  - 4*x
x3−4x2x^{3} - 4 x^{2}
Transform
Detail solution

  1. Differentiate x3−4x2x^{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: 3x2−8x3 x^{2} - 8 x

  2. Now simplify:

    x(3x−8)x \left(3 x - 8\right)

The answer is:

x(3x−8)x \left(3 x - 8\right)

The graph
02468-8-6-4-2-1010-20002000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
          2
-8*x + 3*x
3x2−8x3 x^{2} - 8 x
Simplify
The second derivative [src] 
2*(-4 + 3*x)
2(3x−4)2 \left(3 x - 4\right)
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of x^3-4x^2
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