Question

What is the 115th derivative of sin(x)

Answer 1

d115/dx sin(x)

Answer 2

sin, cos, -sin, -cos, sin and repeats......

Answer 3

yea, I actually tried and i got -cos(x), can u see if it is right

Answer 4

i know it goes back to sin every 4 times
so 4x18=112
and then i just did the rest by hand

Answer 5

\[\text{Mod}[115,4]=3 \to -\text{Cos}[ x] \]

Answer 6

ok thanks! i got this answer too!

Answer 7

Thank you for the medal.

Answer 8

115/4 Remainder three:


Derivative = counterclockwise
Anti-Derivative = clockwise

Since the remainder is 1, start from sin x and go counterclockwise 1 positions leads to -cos(x)