Explanation Given : The function is f ( x ) = cos 2 x . Calculation: The first few derivative of the function f ( x ) = cos 2 x using chain rule is as follows: f ′ ( x ) = − 2 sin 2 x = 2 cos ( 2 x + π 2 ) f ″ ( x ) = − 2 2 cos 2 x = 2 2 cos ( 2 x + 2 π 2 ) f ‴ ( x ) = 2 3 sin 2 x = 2 3 cos ( 2 x + 3 π 2 ) f 4 ( x ) = 2 4 cos 2 x = 2 4 cos ( 2 x + 4 π 2 ) f 5 ( x ) = − 2 5 sin 2 x = 2 5 cos ( 2 x + 5

15th Edition

ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3.5, Problem 53E

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The 50^t^h derivative of the function f(x)=cos2x .

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Chapter 3.5, Problem 52E

Chapter 3.5, Problem 54E

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8:38 *** TEMU TEMU -3 -2 7 B 2 1 & 5G. 61% 1 2 -1 Based on the graph above, determine the amplitude, period, midline, and equation of the function. Use f(x) as the output. Amplitude: 2 Period: 2 Midline: 2 ☑ syntax error: this is not an equation. Function: f(x) = −2 cos(πx + 2.5π) +2× Question Help: Worked Example 1 ☑ Message instructor Submit Question ||| <

8:39 *** TEMU 5G 60% A ferris wheel is 28 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. What is the amplitude? 14 meters What is the equation of the Midline? y = 16 What is the period? 4 meters minutes The equation that models the height of the ferris wheel after t minutes is: f(t): = ƒ (3) = ·−14(0) + 16 syntax error: you gave an equation, not an expression. syntax error. Check your variables - you might be using an incorrect one. How high are you off of the ground after 3 minutes? Round your answe the nearest meter. ||| <

Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

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The 50 t h derivative of the function f ( x ) = cos 2 x .

Solution Summary: The author calculates the first few derivatives of the function f(x)=mathrmcos2x using chain rule.

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The 50^t^h derivative of the function f(x)=cos2x .

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The 50 t h derivative of the function f ( x ) = cos 2 x .

Solution Summary: The author calculates the first few derivatives of the function f(x)=mathrmcos2x using chain rule.

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The 50th derivative of the function f(x)=cos2x .

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The 50^t^h derivative of the function f(x)=cos2x .