Mister Exam

Derivative of sin2pi

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
sin(2*pi)
sin(2π)\sin{\left(2 \pi \right)}
d            
--(sin(2*pi))
dx           
ddxsin(2π)\frac{d}{d x} \sin{\left(2 \pi \right)}
Detail solution
  1. Let u=2πu = 2 \pi.

  2. The derivative of sine is cosine:

    ddusin(u)=cos(u)\frac{d}{d u} \sin{\left(u \right)} = \cos{\left(u \right)}

  3. Then, apply the chain rule. Multiply by ddx2π\frac{d}{d x} 2 \pi:

    1. The derivative of the constant 2π2 \pi is zero.

    The result of the chain rule is:

    00


The answer is:

00

The first derivative [src]
0
00
The second derivative [src]
0
00
The third derivative [src]
0
00