Problem

(a) If $ f(x) = $ sec $ x, $ find $ f'(x). $ (b)…

02:04

Problem 26 Easy Difficulty

(a) Find an equation of the tangent line to the curve
$ y = 3x + 6 $ cos $ x $ at the point $ (\pi/3, \pi + 3). $
(b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.

Answer

More Answers

00:53

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Missouri State University

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College

Watch More Solved Questions in Chapter 3

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Video Transcript

it's clear. So when you right here. So I first gonna get the derivative. Once we get the derivative, we get three minus six sign we're gonna evaluate for X is equal to tie over three. We have three minus six on square root of three. I want it by two. We're gonna put it Plug in the point on the slope when we get one is minus. Hi. Plus three is equal to three minus three square root of three. I'm specs minus points. We get why is equal to pi. Plus three plus three minus three square root of three when x minus pi. Third part B. We're going to draw a graph, so we have thanks. And the graph looks roughly this and then our would draw our line.

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

Grace H.

Numerade Educator

Catherine R.

Missouri State University

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College