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The derivative of the function/ x+1/2x-5

Derivative of x+1/2x-5

The solution

You have entered [src]

    x    
x + - - 5
    2

$$\frac{x}{2} + x - 5$$

d /    x    \
--|x + - - 5|
dx\    2    /

$$\frac{d}{d x} \left(\frac{x}{2} + x - 5\right)$$

Transform

Detail solution

Differentiate $\frac{x}{2} + x - 5$ term by term:
1. Apply the power rule: $x$ goes to $1$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $\frac{1}{2}$
3. The derivative of the constant $\left(-1\right) 5$ is zero.
The result is: $\frac{3}{2}$

The answer is:

$\frac{3}{2}$

The first derivative [src]

3/2

$$\frac{3}{2}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify