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Problem 51 Medium Difficulty

Find the given derivative by finding the first few derivatives and observing the pattern that occurs.
$ \frac {d^{99}}{dx^{99}}(\sin x) $

Answer

$$-\cos x$$

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Video Transcript

it's clear. So when you raid here, so we have the derivative, we calculate it, it becomes co sign second. Or if it is this negative sign, the searcher of it is. There's a negative co sign, and the fourth year of it is ISS Sign. The sister of it is ISCO sign again. So we see that repeats after the fourth time. So we're gonna get 99 and divide it by four to find the remainder, which gives us 24 and the remainder of three. So the 3rd 1 gives us negative co sign of X.