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Graphing y =:
x^3-2x^2+6
Identical expressions
y=x^ three - two x^2+ six
y equally x cubed minus 2x squared plus 6
y equally x to the power of three minus two x squared plus six
y=x3-2x2+6
y=x³-2x²+6
y=x to the power of 3-2x to the power of 2+6
Similar expressions
y=x^3+2x^2+6
y=x^3-2x^2-6

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

Derivative of y=x^3-2x^2+6

The solution

You have entered [src]

 3      2    
x  - 2*x  + 6

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

d / 3      2    \
--\x  - 2*x  + 6/
dx

$$\frac{d}{d x} \left(x^{3} - 2 x^{2} + 6\right)$$

Transform

Detail solution

Differentiate $x^{3} - 2 x^{2} + 6$ 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. 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: $4 x$
  So, the result is: $- 4 x$
3. The derivative of the constant $6$ is zero.
The result is: $3 x^{2} - 4 x$
Now simplify:

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-4*x + 3*x

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

Simplify

The second derivative [src]

2*(-2 + 3*x)

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

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of y=x^3-2x^2+6