Derivative of a*cos(t)

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a*cos(t)

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

a*cos(t)

Detail solution

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

The answer is:

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

The first derivative [src]

-a*sin(t)

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

Simplify

The second derivative [src]

-a*cos(t)

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

Simplify

The third derivative [src]

a*sin(t)

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

Simplify