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(4x+3)^3

Derivative of (4x+3)^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
         3
(4*x + 3) 
$$\left(4 x + 3\right)^{3}$$
(4*x + 3)^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
12*(4*x + 3) 
$$12 \left(4 x + 3\right)^{2}$$
The second derivative [src]
96*(3 + 4*x)
$$96 \left(4 x + 3\right)$$
The third derivative [src]
384
$$384$$
The graph
Derivative of (4x+3)^3