Mister Exam

Other calculators

cos(x)+sin(x)
The derivative of the function/ cos(x)+sin(x)

Derivative of cos(x)+sin(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
cos(x) + sin(x)
$$\sin{\left(x \right)} + \cos{\left(x \right)}$$ 
cos(x) + sin(x)
Detail solution

  1. Differentiate term by term:

    1. The derivative of cosine is negative sine:

    2. The derivative of sine is cosine:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-sin(x) + cos(x)
$$- \sin{\left(x \right)} + \cos{\left(x \right)}$$
Simplify
The second derivative [src] 
-(cos(x) + sin(x))
$$- (\sin{\left(x \right)} + \cos{\left(x \right)})$$
Simplify
The third derivative [src] 
-cos(x) + sin(x)
$$\sin{\left(x \right)} - \cos{\left(x \right)}$$
Simplify
The graph
Derivative of cos(x)+sin(x)
    © Mister Exam – Calculator