Mister Exam

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

Derivative of 2x-x^3

The solution

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       3
2*x - x

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

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

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

Transform

Detail solution

Differentiate $- x^{3} + 2 x$ 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: $2$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $- 3 x^{2}$
The result is: $2 - 3 x^{2}$

The answer is:

$2 - 3 x^{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

       2
2 - 3*x

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

Simplify

The second derivative [src]

-6*x

$$- 6 x$$

Simplify

The third derivative [src]

-6

$$-6$$

Simplify

The graph

Derivative of 2x-x^3