Mister Exam

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

Derivative of 3x-2x^2

The solution

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         2
3*x - 2*x

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

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

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

Transform

Detail solution

Differentiate $- 2 x^{2} + 3 x$ 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. 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: $- 4 x$
The result is: $3 - 4 x$

The answer is:

$3 - 4 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

3 - 4*x

$$3 - 4 x$$

Simplify

The second derivative [src]

-4

$$-4$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of 3x-2x^2