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Derivative of:
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Derivative of 1/x^6
Graphing y =:
x^3-12x+3
Identical expressions
y=x^ three -12x+ three
y equally x cubed minus 12x plus 3
y equally x to the power of three minus 12x plus three
y=x3-12x+3
y=x³-12x+3
y=x to the power of 3-12x+3
Similar expressions
y=x^3+12x+3
y=x^3-12x-3

The derivative of the function/ y=x^3-12x+3

Derivative of y=x^3-12x+3

The solution

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 3           
x  - 12*x + 3

$$x^{3} - 12 x + 3$$

d / 3           \
--\x  - 12*x + 3/
dx

$$\frac{d}{d x} \left(x^{3} - 12 x + 3\right)$$

Transform

Detail solution

Differentiate $x^{3} - 12 x + 3$ 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: $x$ goes to $1$
    So, the result is: $12$
  So, the result is: $-12$
3. The derivative of the constant $3$ is zero.
The result is: $3 x^{2} - 12$

The answer is:

$3 x^{2} - 12$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
-12 + 3*x

$$3 x^{2} - 12$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of y=x^3-12x+3