Mister Exam

Lang:

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

Derivative of 3x-x^2

The solution

You have entered [src]

       2
3*x - x

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

3*x - x^2

Detail solution

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

The answer is:

$3 - 2 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

3 - 2*x

$$3 - 2 x$$

Simplify

The second derivative [src]

-2

$$-2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of 3x-x^2