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Derivative of:
Derivative of x*2^x
Derivative of (x^2)/36
Derivative of x^2/log(x)
Derivative of e^(sin(x)-2*x^3)
Graphing y =:
x^3+6x^2
Plot:
x^3+6x^2
Identical expressions
x^ three +6x^ two
x cubed plus 6x squared
x to the power of three plus 6x to the power of two
x3+6x2
x³+6x²
x to the power of 3+6x to the power of 2
Similar expressions
x^3-6x^2

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

Derivative of x^3+6x^2

The solution

You have entered [src]

 3      2
x  + 6*x

$$x^{3} + 6 x^{2}$$

x^3 + 6*x^2

Detail solution

Differentiate $x^{3} + 6 x^{2}$ 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: $12 x$
The result is: $3 x^{2} + 12 x$
Now simplify:

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

The answer is:

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

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]

$$6$$

Simplify