Mister Exam

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The derivative of the function/ 4sint/2

Derivative of 4sint/2

The solution

You have entered [src]

4*sin(t)
--------
   2

$$\frac{4 \sin{\left(t \right)}}{2}$$

(4*sin(t))/2

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
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:
    
    $\frac{d}{d t} \sin{\left(t \right)} = \cos{\left(t \right)}$
  So, the result is: $4 \cos{\left(t \right)}$
So, the result is: $2 \cos{\left(t \right)}$

The answer is:

$2 \cos{\left(t \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2*cos(t)

$$2 \cos{\left(t \right)}$$

Simplify

The second derivative [src]

-2*sin(t)

$$- 2 \sin{\left(t \right)}$$

Simplify

The third derivative [src]

-2*cos(t)

$$- 2 \cos{\left(t \right)}$$

Simplify