Mister Exam

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The derivative of the function/ 1/2(x-4)

Derivative of 1/2(x-4)

The solution

You have entered [src]

x - 4
-----
  2

$$\frac{x - 4}{2}$$

(x - 4)/2

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
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: $1$
So, the result is: $\frac{1}{2}$

The answer is:

$\frac{1}{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

1/2

$$\frac{1}{2}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify