Mister Exam

Derivative of sinx+cosx

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
sin(x) + cos(x)
$$\sin{\left(x \right)} + \cos{\left(x \right)}$$
d                  
--(sin(x) + cos(x))
dx                 
$$\frac{d}{d x} \left(\sin{\left(x \right)} + \cos{\left(x \right)}\right)$$
Detail solution
  1. Differentiate term by term:

    1. The derivative of sine is cosine:

    2. The derivative of cosine is negative sine:

    The result is:


The answer is:

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