Mister Exam

Derivative of е^x-2cosx

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 x           
E  - 2*cos(x)
$$e^{x} - 2 \cos{\left(x \right)}$$
E^x - 2*cos(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 cosine is negative sine:

      So, the result is:

    The result is:


The answer is:

The graph
The first derivative [src]
 x           
E  + 2*sin(x)
$$e^{x} + 2 \sin{\left(x \right)}$$
The second derivative [src]
            x
2*cos(x) + e 
$$e^{x} + 2 \cos{\left(x \right)}$$
The third derivative [src]
             x
-2*sin(x) + e 
$$e^{x} - 2 \sin{\left(x \right)}$$
The graph
Derivative of е^x-2cosx