Mister Exam

Lang:

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

Derivative of 2x-1/2x+1

The solution

You have entered [src]

      x    
2*x - - + 1
      2

$$- \frac{x}{2} + 2 x + 1$$

d /      x    \
--|2*x - - + 1|
dx\      2    /

$$\frac{d}{d x} \left(- \frac{x}{2} + 2 x + 1\right)$$

Transform

Detail solution

Differentiate $- \frac{x}{2} + 2 x + 1$ term by term:
1. 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: $2$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. 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: $\frac{1}{2}$
  So, the result is: $- \frac{1}{2}$
3. The derivative of the constant $1$ 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