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cosx/3
The derivative of the function/ cosx/3

Derivative of cosx/3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
cos(x)
------
  3
cos⁡(x)3\frac{\cos{\left(x \right)}}{3} 
d /cos(x)\
--|------|
dx\  3   /
ddxcos⁡(x)3\frac{d}{d x} \frac{\cos{\left(x \right)}}{3}
Transform
Detail solution

  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:

      ddxcos⁡(x)=−sin⁡(x)\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}

    So, the result is: −sin⁡(x)3- \frac{\sin{\left(x \right)}}{3}

The answer is:

−sin⁡(x)3- \frac{\sin{\left(x \right)}}{3}

The graph
02468-8-6-4-2-10100.5-0.5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-sin(x) 
--------
   3
−sin⁡(x)3- \frac{\sin{\left(x \right)}}{3}
Simplify
The second derivative [src] 
-cos(x) 
--------
   3
−cos⁡(x)3- \frac{\cos{\left(x \right)}}{3}
Simplify
The third derivative [src] 
sin(x)
------
  3
sin⁡(x)3\frac{\sin{\left(x \right)}}{3}
Simplify
The graph
Derivative of cosx/3
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