Mister Exam

Lang:

Other calculators

How to use it?
Derivative of:
Derivative of (x^3-1)(x^2+x+1)
Derivative of y/2
Derivative of (x+5)/(x-1)
Derivative of x+9
Graphing y =:
x^3+x^2+1
Integral of d{x}:
x^3+x^2+1
Factor polynomial:
x^3+x^2+1
Identical expressions
x^ three +x^ two + one
x cubed plus x squared plus 1
x to the power of three plus x to the power of two plus one
x3+x2+1
x³+x²+1
x to the power of 3+x to the power of 2+1
Similar expressions
x^3-x^2+1
x^3+x^2-1

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

Derivative of x^3+x^2+1

The solution

You have entered [src]

 3    2    
x  + x  + 1

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

x^3 + x^2 + 1

Detail solution

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

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
2*x + 3*x

$$3 x^{2} + 2 x$$

Simplify

The second derivative [src]

2*(1 + 3*x)

$$2 \left(3 x + 1\right)$$

Simplify

3-я производная [src]

$$6$$

Simplify

The third derivative [src]

$$6$$

Simplify