Explanation Given: The given equation is y = ( cos x ) 2 where x = π Concept Used: Chain rule of differentiation is: d d x f [ g ( x ) ] = d d g f ( g ) d g d x , where u is a differentiable function at x and f is a differentiable function at u ( x ) To find an equation of the tangent line to the graph of an equation y = f ( x ) at the a point ( a , b ) First find slope of the equation at the prescribed point as: m = d y d x | ( a , b ) Now, the equation of the tangent line to the graph of the equation is y = m x + c Put ( a , b ) coordinate in y = m x + c to find the value of c Calculation: To find an equation of the tangent line to the graph of y = ( cos x ) 2 where x = π First find slope of the equation at the prescribed point as: m = d y d x | ( a , b ) For that differentiate both side of the equation with respect to x as y = ( cos x ) 2 d d x y = d d x

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3, Problem 40SP

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To find an equation of the tangent line to the graph of given equation y=(cosx)2 where x=π .

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Chapter 3, Problem 39SP

Chapter 3, Problem 41SP

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(5) If y = sin(3x) the find y"

9. Fill in the blanks AND give reasons for each step of the calculation. Let y = arctan(r+ e). (This could also be written y = tan- (r + e).) We will find its derivative. First rewrite the equation as tan( using the definition of Now apply the method of to get 윤 tan( On the left side of the equation we use the to get: sec ( Now we solve for to get = This shows that arctan(r+ e") %3D If we want to, we can use trigonometry to write the final answer using only the variable r, but for simplicity we'll leave the answer as it is.

Could you write it in llegable writing? I have dyslexia

Chapter 3 Solutions

Calculus

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To find an equation of the tangent line to the graph of given equation y = ( cos x ) 2 where x = π .

Solution Summary: The author explains how to find an equation of the tangent line to the graph of a given equation y=(mathrmcosx)2 where

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Chapter 3 Solutions