Mister Exam

Other calculators

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

Derivative of 4x^3-3x

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

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

  1. Differentiate 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: goes to

      So, the result is:

    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: goes to

        So, the result is:

      So, the result is:

    The result is:

The answer is:

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
$$24$$
Simplify
The graph
Derivative of 4x^3-3x
    © Mister Exam – Calculator