Derivative of y=3sint

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3*sin(t)

$$3 \sin{\left(t \right)}$$

d           
--(3*sin(t))
dt

$$\frac{d}{d t} 3 \sin{\left(t \right)}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of sine is cosine:
  
  $\frac{d}{d t} \sin{\left(t \right)} = \cos{\left(t \right)}$
So, the result is: $3 \cos{\left(t \right)}$

The answer is:

$3 \cos{\left(t \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

3*cos(t)

$$3 \cos{\left(t \right)}$$

Simplify

The second derivative [src]

-3*sin(t)

$$- 3 \sin{\left(t \right)}$$

Simplify

The third derivative [src]

-3*cos(t)

$$- 3 \cos{\left(t \right)}$$

Simplify

The graph