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cos(t)
The derivative of the function/ cos(t)

Derivative of cos(t)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
cos(t)
cos⁡(t)\cos{\left(t \right)} 
cos(t)
Detail solution

  1. The derivative of cosine is negative sine:

    ddtcos⁡(t)=−sin⁡(t)\frac{d}{d t} \cos{\left(t \right)} = - \sin{\left(t \right)}

The answer is:

−sin⁡(t)- \sin{\left(t \right)}

The graph
02468-8-6-4-2-10102-2
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-sin(t)
−sin⁡(t)- \sin{\left(t \right)}
Simplify
The second derivative [src] 
-cos(t)
−cos⁡(t)- \cos{\left(t \right)}
Simplify
The third derivative [src] 
sin(t)
sin⁡(t)\sin{\left(t \right)}
Simplify
The graph
Derivative of cos(t)
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