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Derivative of:
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Derivative of (4*x-9)^7
Graphing y =:
3*x-x^3
Identical expressions
three *x-x^ three
3 multiply by x minus x cubed
three multiply by x minus x to the power of three
3*x-x3
3*x-x³
3*x-x to the power of 3
3x-x^3
3x-x3
Similar expressions
3*x+x^3

The derivative of the function/ 3*x-x^3

Derivative of 3*x-x^3

The solution

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       3
3*x - x

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

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

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

Transform

Detail solution

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

The answer is:

$3 - 3 x^{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       2
3 - 3*x

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

Simplify

The second derivative [src]

-6*x

$$- 6 x$$

Simplify

The third derivative [src]

-6

$$-6$$

Simplify

The graph

Derivative of 3*x-x^3