Mister Exam

Derivative of exp(-x)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 -x
e  
$$e^{- x}$$
exp(-x)
Detail solution
  1. Let .

  2. The derivative of is itself.

  3. Then, apply the chain rule. Multiply by :

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
  -x
-e  
$$- e^{- x}$$
The second derivative [src]
 -x
e  
$$e^{- x}$$
The third derivative [src]
  -x
-e  
$$- e^{- x}$$
The graph
Derivative of exp(-x)