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Derivative of:
Derivative of x^12
Derivative of x^2*e^(3-2*x)*log(2)^x
Derivative of -(x^2+324)/x
Derivative of x^3-1/5*x^2+2*x-4
Integral of d{x}:
x^3-3x^2+1
Graphing y =:
x^3-3x^2+1
Identical expressions
x^ three -3x^ two + one
x cubed minus 3x squared plus 1
x to the power of three minus 3x to the power of two plus one
x3-3x2+1
x³-3x²+1
x to the power of 3-3x to the power of 2+1
Similar expressions
x^3-3x^2-1
x^3+3x^2+1

The derivative of the function/ x^3-3x^2+1

Derivative of x^3-3x^2+1

The solution

You have entered [src]

 3      2    
x  - 3*x  + 1

$$\left(x^{3} - 3 x^{2}\right) + 1$$

x^3 - 3*x^2 + 1

Detail solution

Differentiate $\left(x^{3} - 3 x^{2}\right) + 1$ term by term:
1. Differentiate $x^{3} - 3 x^{2}$ 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: $- 6 x$
  The result is: $3 x^{2} - 6 x$
2. The derivative of the constant $1$ is zero.
The result is: $3 x^{2} - 6 x$
Now simplify:

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-6*x + 3*x

$$3 x^{2} - 6 x$$

Simplify

The second derivative [src]

6*(-1 + x)

$$6 \left(x - 1\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-3x^2+1