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6. No derivative formulas/shortcuts allowed for this problem. Zero points if you use a derivative formula/shortcut. (i) Use the definition of derivative to find the slope of the tangent line mean = f'(a) if f(x) = √8-x and a=-1 >> f¹00 Let y = √EX f'(o) / f'(a)/= f(a)= 7) 8- (-1² y² = 8-x x=8-y²=> flo=0=x² deriustive, Mtan = Then the slope is 7 not inverse. (ii) Find an equation of the line tangent to f(x) at x = -1. Its ok to leave the equation in point- slope form cal-18-X y-y, M= X₁ or

6. No derivative formulas/shortcuts allowed for this problem. Zero points if you use a derivative formula/shortcut. (i) Use the definition of derivative to find the slope of the tangent line mean = f'(a) if f(x) = √8-x and a=-1 >> f¹00 Let y = √EX f'(o) / f'(a)/= f(a)= 7) 8- (-1² y² = 8-x x=8-y²=> flo=0=x² deriustive, Mtan = Then the slope is 7 not inverse. (ii) Find an equation of the line tangent to f(x) at x = -1. Its ok to leave the equation in point- slope form cal-18-X y-y, M= X₁ or

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. No derivative formulas/shortcuts allowed for this problem. Zero points if you use a derivative formula/shortcut. (i) Use the definition of derivative to find the slope of the tangent line mean = f'(a) if f(x) = √8-x and a=-1 ⇒ f '(0 = Let y = √[E-X y² = 8-x x=8-y²= ²^x=8-x² deriustive, f'(a) = 8-(-1)² f(a)= 7) Mtan = Then the slope is 7 not inverse. (ii) Find an equation of the line tangent to f(x) at x = -1. Its ok to leave the equation in point- slope form y-y, f(x)=√√√8-x M= X-XI 1 y-y' = m ( x - y-y₁ = (-1 9-9₁ = - 7114 -7- X=-1 f(-1)=√8--T =√√9 f(-1) = 3
Transcribed Image Text:6. No derivative formulas/shortcuts allowed for this problem. Zero points if you use a derivative formula/shortcut. (i) Use the definition of derivative to find the slope of the tangent line mean = f'(a) if f(x) = √8-x and a=-1 ⇒ f '(0 = Let y = √[E-X y² = 8-x x=8-y²= ²^x=8-x² deriustive, f'(a) = 8-(-1)² f(a)= 7) Mtan = Then the slope is 7 not inverse. (ii) Find an equation of the line tangent to f(x) at x = -1. Its ok to leave the equation in point- slope form y-y, f(x)=√√√8-x M= X-XI 1 y-y' = m ( x - y-y₁ = (-1 9-9₁ = - 7114 -7- X=-1 f(-1)=√8--T =√√9 f(-1) = 3
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