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3*cos(x)
The derivative of the function/ 3*cos(x)

Derivative of 3*cos(x)

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

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The solution

You have entered [src] 
3*cos(x)
3cos⁡(x)3 \cos{\left(x \right)} 
3*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: −3sin⁡(x)- 3 \sin{\left(x \right)}

The answer is:

−3sin⁡(x)- 3 \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] 
-3*sin(x)
−3sin⁡(x)- 3 \sin{\left(x \right)}
Simplify
The second derivative [src] 
-3*cos(x)
−3cos⁡(x)- 3 \cos{\left(x \right)}
Simplify
The third derivative [src] 
3*sin(x)
3sin⁡(x)3 \sin{\left(x \right)}
Simplify
The graph
Derivative of 3*cos(x)
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