Mister Exam

Other calculators


(3x-2)^3

Derivative of (3x-2)^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
         3
(3*x - 2) 
$$\left(3 x - 2\right)^{3}$$
(3*x - 2)^3
Detail solution
  1. Let .

  2. Apply the power rule: goes to

  3. Then, apply the chain rule. Multiply by :

    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 the constant is zero.

      The result is:

    The result of the chain rule is:

  4. Now simplify:


The answer is:

The graph
The first derivative [src]
           2
9*(3*x - 2) 
$$9 \left(3 x - 2\right)^{2}$$
The second derivative [src]
54*(-2 + 3*x)
$$54 \left(3 x - 2\right)$$
The third derivative [src]
162
$$162$$
The graph
Derivative of (3x-2)^3