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y=sinx/1-2cosx

Derivative of y=sinx/1-2cosx

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
sin(x)           
------ - 2*cos(x)
  1              
$$\frac{\sin{\left(x \right)}}{1} - 2 \cos{\left(x \right)}$$
sin(x)/1 - 2*cos(x)
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 sine is cosine:

      So, the result is:

    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]
2*sin(x) + cos(x)
$$2 \sin{\left(x \right)} + \cos{\left(x \right)}$$
The second derivative [src]
-sin(x) + 2*cos(x)
$$- \sin{\left(x \right)} + 2 \cos{\left(x \right)}$$
The third derivative [src]
-(2*sin(x) + cos(x))
$$- (2 \sin{\left(x \right)} + \cos{\left(x \right)})$$
The graph
Derivative of y=sinx/1-2cosx