Mister Exam

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)
$$e^{x} - \sin{\left(x \right)}$$
E^x - sin(x)
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. The derivative of sine is cosine:

      So, the result is:

    The result is:


The answer is:

The graph
The first derivative [src]
 x         
E  - cos(x)
$$e^{x} - \cos{\left(x \right)}$$
The second derivative [src]
 x         
e  + sin(x)
$$e^{x} + \sin{\left(x \right)}$$
The third derivative [src]
          x
cos(x) + e 
$$e^{x} + \cos{\left(x \right)}$$
The graph
Derivative of e^x-sinx