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cos(x)/1+2*sin(x)

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cos(x)/ one + two *sin(x)
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Similar expressions
cos(x)/(1+2*sin(x))
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cosx/1+2*sinx

The derivative of the function/ cos(x)/1+2*sin(x)

Derivative of cos(x)/1+2*sin(x)

The solution

You have entered [src]

cos(x)           
------ + 2*sin(x)
  1

$$2 \sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1}$$

cos(x)/1 + 2*sin(x)

Detail solution

Differentiate $2 \sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1}$ 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:
    
    $\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$
  So, the result is: $- \sin{\left(x \right)}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of sine is cosine:
    
    $\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}$
  So, the result is: $2 \cos{\left(x \right)}$
The result is: $- \sin{\left(x \right)} + 2 \cos{\left(x \right)}$

The answer is:

$- \sin{\left(x \right)} + 2 \cos{\left(x \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-sin(x) + 2*cos(x)

$$- \sin{\left(x \right)} + 2 \cos{\left(x \right)}$$

Simplify

The second derivative [src]

-(2*sin(x) + cos(x))

$$- (2 \sin{\left(x \right)} + \cos{\left(x \right)})$$

Simplify

The third derivative [src]

-2*cos(x) + sin(x)

$$\sin{\left(x \right)} - 2 \cos{\left(x \right)}$$

Simplify

The graph

Derivative of cos(x)/1+2*sin(x)