Mister Exam

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

Derivative of 4x^3-3x

The solution

You have entered [src]

   3      
4*x  - 3*x

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

d /   3      \
--\4*x  - 3*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: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $12 x^{2}$
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: $x$ goes to $1$
    So, the result is: $3$
  So, the result is: $-3$
The result is: $12 x^{2} - 3$

The answer is:

$12 x^{2} - 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
-3 + 12*x

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

Simplify

The second derivative [src]

24*x

$$24 x$$

Simplify

The third derivative [src]

$$24$$

Simplify

The graph

Derivative of 4x^3-3x