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8sinx
The derivative of the function/ 8sinx

Derivative of 8sinx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
8*sin(x)
8sin⁡(x)8 \sin{\left(x \right)} 
8*sin(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 sine is cosine:

      ddxsin⁡(x)=cos⁡(x)\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}

    So, the result is: 8cos⁡(x)8 \cos{\left(x \right)}

The answer is:

8cos⁡(x)8 \cos{\left(x \right)}

The graph
02468-8-6-4-2-1010-2020
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
8*cos(x)
8cos⁡(x)8 \cos{\left(x \right)}
Simplify
The second derivative [src] 
-8*sin(x)
−8sin⁡(x)- 8 \sin{\left(x \right)}
Simplify
The third derivative [src] 
-8*cos(x)
−8cos⁡(x)- 8 \cos{\left(x \right)}
Simplify
The graph
Derivative of 8sinx
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