Problem

Find the given derivative by finding the first fe…

00:35

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

$$-\cos x$$

More Answers

00:34

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

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Watch More Solved Questions in Chapter 3

Problem 1

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Problem 4

Problem 5

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Problem 24

Problem 25

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Problem 51

Problem 52

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Problem 58

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.

Clarissa N.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Top Calculus 1 / AB Educators

Anna Marie V.

Campbell University

Caleb E.

Baylor University

Michael J.

Idaho State University

Joseph L.

Boston College