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e^x+sinx
The derivative of the function/ e^x+sinx

Derivative of e^x+sinx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 x         
E  + sin(x)
ex+sin⁡(x)e^{x} + \sin{\left(x \right)} 
E^x + sin(x)
Detail solution

  1. Differentiate ex+sin⁡(x)e^{x} + \sin{\left(x \right)} term by term:

    1. The derivative of exe^{x} is itself.

    2. The derivative of sine is cosine:

      ddxsin⁡(x)=cos⁡(x)\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}

    The result is: ex+cos⁡(x)e^{x} + \cos{\left(x \right)}

The answer is:

ex+cos⁡(x)e^{x} + \cos{\left(x \right)}

The graph
02468-8-6-4-2-1010-2500025000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 x         
E  + cos(x)
ex+cos⁡(x)e^{x} + \cos{\left(x \right)}
Simplify
The second derivative [src] 
           x
-sin(x) + e
ex−sin⁡(x)e^{x} - \sin{\left(x \right)}
Simplify
The third derivative [src] 
           x
-cos(x) + e
ex−cos⁡(x)e^{x} - \cos{\left(x \right)}
Simplify
The graph
Derivative of e^x+sinx
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