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e^x-x
The derivative of the function/ e^x-x

Derivative of e^x-x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 x    
E  - x
$$e^{x} - x$$
Transform
Detail solution

  1. Differentiate term by term:

    1. The derivative of is itself.

    2. 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 is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
      x
-1 + E
$$e^{x} - 1$$
Simplify
The second derivative [src] 
 x
E
$$e^{x}$$
Simplify
The third derivative [src] 
 x
E
$$e^{x}$$
Simplify
The graph
Derivative of e^x-x
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