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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+3x^2+4
Identical expressions
-x^ three +3x^ two + four
minus x cubed plus 3x squared plus 4
minus x to the power of three plus 3x to the power of two plus four
-x3+3x2+4
-x³+3x²+4
-x to the power of 3+3x to the power of 2+4
Similar expressions
-x^3-3x^2+4
-x^3+3x^2-4
x^3+3x^2+4

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

Derivative of -x^3+3x^2+4

The solution

You have entered [src]

   3      2    
- x  + 3*x  + 4

$$\left(- x^{3} + 3 x^{2}\right) + 4$$

-x^3 + 3*x^2 + 4

Detail solution

Differentiate $\left(- x^{3} + 3 x^{2}\right) + 4$ term by term:
1. Differentiate $- x^{3} + 3 x^{2}$ term by term:
  1. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
    So, the result is: $- 3 x^{2}$
  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: $6 x$
  The result is: $- 3 x^{2} + 6 x$
2. The derivative of the constant $4$ is zero.
The result is: $- 3 x^{2} + 6 x$
Now simplify:

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

     2      
- 3*x  + 6*x

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

Simplify

The second derivative [src]

6*(1 - x)

$$6 \left(1 - x\right)$$

Simplify

The third derivative [src]

-6

$$-6$$

Simplify