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⁡(t)tsint + \cos{\left(t \right)} 
d                 
--(cos(t) + tsint)
dt
∂∂t(tsint+cos⁡(t))\frac{\partial}{\partial t} \left(tsint + \cos{\left(t \right)}\right)
Transform
Detail solution

  1. Differentiate tsint+cos⁡(t)tsint + \cos{\left(t \right)} term by term:

    1. The derivative of cosine is negative sine:

      ddtcos⁡(t)=−sin⁡(t)\frac{d}{d t} \cos{\left(t \right)} = - \sin{\left(t \right)}

    2. The derivative of the constant tsinttsint is zero.

    The result is: −sin⁡(t)- \sin{\left(t \right)}

The answer is:

−sin⁡(t)- \sin{\left(t \right)}

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