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Derivative of:
Derivative of 6^x
Derivative of (x^2-1)/(x^2+1)
Derivative of (x+3)/(x-1)
Derivative of (x-3)^3
Integral of d{x}:
(x-3)^3
Graphing y =:
(x-3)^3
Canonical form:
(x-3)^3
Identical expressions
(x- three)^ three
(x minus 3) cubed
(x minus three) to the power of three
(x-3)3
x-33
(x-3)³
(x-3) to the power of 3
x-3^3
Similar expressions
(x+3)^3

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

Derivative of (x-3)^3

The solution

You have entered [src]

       3
(x - 3)

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

(x - 3)^3

Detail solution

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

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

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
3*(x - 3)

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

Simplify

The second derivative [src]

6*(-3 + x)

$$6 \left(x - 3\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of (x-3)^3