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Derivative of:
Derivative of x^12
Derivative of -e^x
Derivative of (1+x)/(4-x^2)
Derivative of (1+sqrt(x))/(1-sqrt(x))
Graphing y =:
x^3+4x^2
Identical expressions
x^ three +4x^ two
x cubed plus 4x squared
x to the power of three plus 4x to the power of two
x3+4x2
x³+4x²
x to the power of 3+4x to the power of 2
Similar expressions
y=x^3+4*x^2-7
x^3-4x^2

The derivative of the function/ x^3+4x^2

Derivative of x^3+4x^2

The solution

You have entered [src]

 3      2
x  + 4*x

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

x^3 + 4*x^2

Detail solution

Differentiate $x^{3} + 4 x^{2}$ 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: $8 x$
The result is: $3 x^{2} + 8 x$
Now simplify:

$x \left(3 x + 8\right)$

The answer is:

$x \left(3 x + 8\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   2      
3*x  + 8*x

$$3 x^{2} + 8 x$$

Simplify

The second derivative [src]

2*(4 + 3*x)

$$2 \left(3 x + 4\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify