Mister Exam

Lang:

The derivative of the function/ (x-3)^2

Derivative of (x-3)^2

The solution

You have entered [src]

       2
(x - 3)

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

(x - 3)^2

Detail solution

Let $u = x - 3$ .
Apply the power rule: $u^{2}$ goes to $2 u$
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:

$2 x - 6$

The answer is:

$2 x - 6$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-6 + 2*x

$$2 x - 6$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x-3)^2