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cosx/1+sinx
The derivative of the function/ cosx/1+sinx

Derivative of cosx/1+sinx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
cos(x)         
------ + sin(x)
  1
$$\sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1}$$ 
d /cos(x)         \
--|------ + sin(x)|
dx\  1            /
$$\frac{d}{d x} \left(\sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1}\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. 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:

    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 cosx/1+sinx
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