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Derivative of:
Derivative of x^3
Derivative of sqrt(x)
Derivative of x*cos(x)
Derivative of ln3
Graphing y =:
x^3-2x^2+1
Identical expressions
x^ three - two x^2+ one
x cubed minus 2x squared plus 1
x to the power of three minus two x squared plus one
x3-2x2+1
x³-2x²+1
x to the power of 3-2x to the power of 2+1
Similar expressions
(x^3-2)(x^2+1)
x^3-2x^2-1
x^3+2x^2+1
y=x^4+5*x^3-2*x^2+1

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

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

The solution

You have entered [src]

 3      2    
x  - 2*x  + 1

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

Transform

Detail solution

Differentiate $\left(x^{3} - 2 x^{2}\right) + 1$ term by term:
1. Differentiate $x^{3} - 2 x^{2}$ 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: $- 4 x$
  The result is: $3 x^{2} - 4 x$
2. The derivative of the constant $1$ is zero.
The result is: $3 x^{2} - 4 x$
Now simplify:

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-4*x + 3*x

$$3 x^{2} - 4 x$$

Simplify

The second derivative [src]

2*(-2 + 3*x)

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

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

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