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y=3sint
The derivative of the function/ y=3sint

Derivative of y=3sint

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
3*sin(t)
3sin⁡(t)3 \sin{\left(t \right)} 
d           
--(3*sin(t))
dt
ddt3sin⁡(t)\frac{d}{d t} 3 \sin{\left(t \right)}
Transform
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: 3cos⁡(t)3 \cos{\left(t \right)}

The answer is:

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