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x^3-2x^2

Derivative of x^3-2x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3      2
x  - 2*x 
x32x2x^{3} - 2 x^{2}
d / 3      2\
--\x  - 2*x /
dx           
ddx(x32x2)\frac{d}{d x} \left(x^{3} - 2 x^{2}\right)
Detail solution
  1. Differentiate x32x2x^{3} - 2 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. 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

      So, the result is: 4x- 4 x

    The result is: 3x24x3 x^{2} - 4 x

  2. Now simplify:

    x(3x4)x \left(3 x - 4\right)


The answer is:

x(3x4)x \left(3 x - 4\right)

The graph
02468-8-6-4-2-1010-20002000
The first derivative [src]
          2
-4*x + 3*x 
3x24x3 x^{2} - 4 x
The second derivative [src]
2*(-2 + 3*x)
2(3x2)2 \cdot \left(3 x - 2\right)
The third derivative [src]
6
66
The graph
Derivative of x^3-2x^2