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The derivative of the function/ x^3+6x^2

Derivative of x^3+6x^2

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3      2
x  + 6*x
$$x^{3} + 6 x^{2}$$ 
x^3 + 6*x^2
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:

  2. Now simplify:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   2       
3*x  + 12*x
$$3 x^{2} + 12 x$$
Simplify
The second derivative [src] 
6*(2 + x)
$$6 \left(x + 2\right)$$
Simplify
The third derivative [src] 
6
$$6$$
Simplify
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