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Derivative of:
Derivative of 2x²
Derivative of y=3x²+5x+4
Derivative of x^3*cot(x)
Derivative of sin(x)+3
Graphing y =:
x^3+x^2+2
Identical expressions
x^ three +x^ two + two
x cubed plus x squared plus 2
x to the power of three plus x to the power of two plus two
x3+x2+2
x³+x²+2
x to the power of 3+x to the power of 2+2
Similar expressions
x^3+x^2-2
x^3-x^2+2

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

Derivative of x^3+x^2+2

The solution

You have entered [src]

 3    2    
x  + x  + 2

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

x^3 + x^2 + 2

Detail solution

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

The third derivative [src]

$$6$$

Simplify