Mister Exam

Lang:

The derivative of the function/ (-(exp^y)+2)

Derivative of (-(exp^y)+2)

The solution

You have entered [src]

   y    
- E  + 2

$$2 - e^{y}$$

-E^y + 2

Detail solution

Differentiate $2 - e^{y}$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of $e^{y}$ is itself.
  So, the result is: $- e^{y}$
2. The derivative of the constant $2$ is zero.
The result is: $- e^{y}$

The answer is:

$- e^{y}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  y
-e

$$- e^{y}$$

Simplify

The second derivative [src]

  y
-e

$$- e^{y}$$

Simplify

The third derivative [src]

  y
-e

$$- e^{y}$$

Simplify