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½*e^x+1
The derivative of the function/ ½*e^x+1

Derivative of ½*e^x+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 x    
e     
-- + 1
2
$$\frac{e^{x}}{2} + 1$$ 
  / x    \
d |e     |
--|-- + 1|
dx\2     /
$$\frac{d}{d x} \left(\frac{e^{x}}{2} + 1\right)$$
Transform
Detail solution

  1. Differentiate 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 is itself.

      So, the result is:

    2. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 x
e 
--
2
$$\frac{e^{x}}{2}$$
Simplify
The second derivative [src] 
 x
e 
--
2
$$\frac{e^{x}}{2}$$
Simplify
The third derivative [src] 
 x
e 
--
2
$$\frac{e^{x}}{2}$$
Simplify
The graph
Derivative of ½*e^x+1
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