Mister Exam

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The derivative of the function/ 3x-4x^3

Derivative of 3x-4x^3

The solution

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         3
3*x - 4*x

$$- 4 x^{3} + 3 x$$

d /         3\
--\3*x - 4*x /
dx

$$\frac{d}{d x} \left(- 4 x^{3} + 3 x\right)$$

Transform

Detail solution

Differentiate $- 4 x^{3} + 3 x$ 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. 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: $12 x^{2}$
  So, the result is: $- 12 x^{2}$
The result is: $3 - 12 x^{2}$

The answer is:

$3 - 12 x^{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
3 - 12*x

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

Simplify

The second derivative [src]

-24*x

$$- 24 x$$

Simplify

3-я производная [src]

-24

$$-24$$

Simplify

The third derivative [src]

-24

$$-24$$

Simplify

The graph

Derivative of 3x-4x^3