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cos(x)-1
The derivative of the function/ cos(x)-1

Derivative of cos(x)-1

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

The graph:

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The solution

You have entered [src] 
cos(x) - 1
cos⁡(x)−1\cos{\left(x \right)} - 1 
cos(x) - 1
Detail solution

  1. Differentiate cos⁡(x)−1\cos{\left(x \right)} - 1 term by term:

    1. The derivative of cosine is negative sine:

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

    2. The derivative of the constant −1-1 is zero.

    The result is: −sin⁡(x)- \sin{\left(x \right)}

The answer is:

−sin⁡(x)- \sin{\left(x \right)}

The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-sin(x)
−sin⁡(x)- \sin{\left(x \right)}
Simplify
The second derivative [src] 
-cos(x)
−cos⁡(x)- \cos{\left(x \right)}
Simplify
The third derivative [src] 
sin(x)
sin⁡(x)\sin{\left(x \right)}
Simplify
The graph
Derivative of cos(x)-1
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