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5*cos(x)
The derivative of the function/ 5*cos(x)

Derivative of 5*cos(x)

Function f() - derivative -N order at the point
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The graph:

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Piecewise:

The solution

You have entered [src] 
5*cos(x)
5cos⁡(x)5 \cos{\left(x \right)} 
5*cos(x)
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: −5sin⁡(x)- 5 \sin{\left(x \right)}

The answer is:

−5sin⁡(x)- 5 \sin{\left(x \right)}

The graph
02468-8-6-4-2-1010-1010
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-5*sin(x)
−5sin⁡(x)- 5 \sin{\left(x \right)}
Simplify
The second derivative [src] 
-5*cos(x)
−5cos⁡(x)- 5 \cos{\left(x \right)}
Simplify
The third derivative [src] 
5*sin(x)
5sin⁡(x)5 \sin{\left(x \right)}
Simplify
The graph
Derivative of 5*cos(x)
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