Question

No idea how to solve this Derivative. Will post pic. Thanks.

Answer 1

what is the 106?

Answer 2

I tried cosx but it didnt work

Answer 3

The derivatives of sin(x) have a pattern:
y = sin(x)
y' = cos(x)
y'' = -sin(x)
y''' = -cos(x)
y'''' = y

Answer 4

oh...so until the 106th derivative then?

Answer 5

No....every 4th derivative is back to sin(x). 106 divided by 4, then the remainder tells you which derivative y', y'', y''' it will be

Answer 6

so the remainder is 20. so that means its back to sinx?

Answer 7

??? \(106 \div 4 = 26 \) R2

Answer 8

Remainder of 2 means that the 106th derivative of sin(x) is the same as the 2nd derivative of sin(x).

Answer 9

so -sinx

Answer 10

yep!

Answer 11

k ill try

Answer 12

haha. cool. thanks :D