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6cosx
The derivative of the function/ 6cosx

Derivative of 6cosx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
6*cos(x)
6cos⁡(x)6 \cos{\left(x \right)} 
6*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: −6sin⁡(x)- 6 \sin{\left(x \right)}

The answer is:

−6sin⁡(x)- 6 \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] 
-6*sin(x)
−6sin⁡(x)- 6 \sin{\left(x \right)}
Simplify
The second derivative [src] 
-6*cos(x)
−6cos⁡(x)- 6 \cos{\left(x \right)}
Simplify
The third derivative [src] 
6*sin(x)
6sin⁡(x)6 \sin{\left(x \right)}
Simplify
The graph
Derivative of 6cosx
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