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Derivative of:
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Identical expressions
x^ three -4x^ two -3x
x cubed minus 4x squared minus 3x
x to the power of three minus 4x to the power of two minus 3x
x3-4x2-3x
x³-4x²-3x
x to the power of 3-4x to the power of 2-3x
Similar expressions
x^3+4x^2-3x
x^3-4x^2+3x

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

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

The solution

You have entered [src]

 3      2      
x  - 4*x  - 3*x

$$- 3 x + \left(x^{3} - 4 x^{2}\right)$$

x^3 - 4*x^2 - 3*x

Detail solution

Differentiate $- 3 x + \left(x^{3} - 4 x^{2}\right)$ term by term:
1. Differentiate $x^{3} - 4 x^{2}$ term by term:
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  2. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x^{2}$ goes to $2 x$
    So, the result is: $- 8 x$
  The result is: $3 x^{2} - 8 x$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $-3$
The result is: $3 x^{2} - 8 x - 3$

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

              2
-3 - 8*x + 3*x

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

Simplify

The second derivative [src]

2*(-4 + 3*x)

$$2 \left(3 x - 4\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

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