Mister Exam

Other calculators

The derivative of the function/ cost+tsint

Derivative of cost+tsint

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
cos(t) + tsint
$$tsint + \cos{\left(t \right)}$$ 
d                 
--(cos(t) + tsint)
dt
$$\frac{\partial}{\partial t} \left(tsint + \cos{\left(t \right)}\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. The derivative of cosine is negative sine:

    2. The derivative of the constant is zero.

    The result is:

The answer is:

The first derivative [src] 
-sin(t)
$$- \sin{\left(t \right)}$$
Simplify
The second derivative [src] 
-cos(t)
$$- \cos{\left(t \right)}$$
Simplify
The third derivative [src] 
sin(t)
$$\sin{\left(t \right)}$$
Simplify
    © Mister Exam – Calculator