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Derivative of:
Derivative of log(x+2)
Derivative of 1/sin(y)
Derivative of y=(8x-15)^5
Derivative of (x-4)^3
Integral of d{x}:
(x-4)^3
Canonical form:
(x-4)^3
Identical expressions
(x- four)^ three
(x minus 4) cubed
(x minus four) to the power of three
(x-4)3
x-43
(x-4)³
(x-4) to the power of 3
x-4^3
Similar expressions
(3*x-4^3*sqrt(x)+2)^4
(x+4)^3

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

Derivative of (x-4)^3

The solution

You have entered [src]

       3
(x - 4)

\left(x - 4\right)^{3}

(x - 4)^3

Detail solution

Let $u = x - 4$ .
Apply the power rule: $u^{3}$ goes to $3 u^{2}$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x - 4\right)$ :
1. Differentiate $x - 4$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $-4$ is zero.
  The result is: $1$
The result of the chain rule is:

$3 \left(x - 4\right)^{2}$
Now simplify:

$3 \left(x - 4\right)^{2}$

The answer is:

3 \left(x - 4\right)^{2}

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
3*(x - 4)

3 \left(x - 4\right)^{2}

Simplify

The second derivative [src]

6*(-4 + x)

6 \left(x - 4\right)

Simplify

The third derivative [src]

6

Simplify

The graph

Derivative of (x-4)^3