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The derivative of the function/ 4(sint-tcost)

Derivative of 4(sint-tcost)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
4*(sin(t) - tcost)
$$4 \left(- tcost + \sin{\left(t \right)}\right)$$ 
d                     
--(4*(sin(t) - tcost))
dt
$$\frac{\partial}{\partial t} 4 \left(- tcost + \sin{\left(t \right)}\right)$$
Transform
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Differentiate term by term:

      1. The derivative of sine is cosine:

      2. The derivative of the constant is zero.

      The result is:

    So, the result is:

The answer is:

The first derivative [src] 
4*cos(t)
$$4 \cos{\left(t \right)}$$
Simplify
The second derivative [src] 
-4*sin(t)
$$- 4 \sin{\left(t \right)}$$
Simplify
The third derivative [src] 
-4*cos(t)
$$- 4 \cos{\left(t \right)}$$
Simplify
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