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The derivative of the function/ 4sint

Derivative of 4sint

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] 
4*sin(t)
4sin⁡(t)4 \sin{\left(t \right)} 
4*sin(t)
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:

      ddtsin⁡(t)=cos⁡(t)\frac{d}{d t} \sin{\left(t \right)} = \cos{\left(t \right)}

    So, the result is: 4cos⁡(t)4 \cos{\left(t \right)}

The answer is:

4cos⁡(t)4 \cos{\left(t \right)}

The graph
02468-8-6-4-2-1010-1010
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
4*cos(t)
4cos⁡(t)4 \cos{\left(t \right)}
Simplify
The second derivative [src] 
-4*sin(t)
−4sin⁡(t)- 4 \sin{\left(t \right)}
Simplify
The third derivative [src] 
-4*cos(t)
−4cos⁡(t)- 4 \cos{\left(t \right)}
Simplify
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