Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of 5-7x
Derivative of sqrt(x-1)/(sqrt(x^2-x)-1)
Derivative of f(x)=5
Derivative of 2*sqrt(x)-4*log(2+sqrt(x))
Graphing y =:
x^3-2x^2+x
Integral of d{x}:
x^3-2x^2+x
Identical expressions
x^ three - two x^2+x
x cubed minus 2x squared plus x
x to the power of three minus two x squared plus x
x3-2x2+x
x³-2x²+x
x to the power of 3-2x to the power of 2+x
Similar expressions
x^3+2x^2+x
x^3-2x^2-x

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

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

The solution

You have entered [src]

 3      2    
x  - 2*x  + x

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

x^3 - 2*x^2 + x

Detail solution

Differentiate $x + \left(x^{3} - 2 x^{2}\right)$ 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. Apply the power rule: $x$ goes to $1$
The result is: $3 x^{2} - 4 x + 1$

The answer is:

$3 x^{2} - 4 x + 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

             2
1 - 4*x + 3*x

$$3 x^{2} - 4 x + 1$$

Simplify

The second derivative [src]

2*(-2 + 3*x)

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

Simplify

The third derivative [src]

$$6$$

Simplify