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1. Find the slope of the tangent line to the graph of the following function at the indicated point, f(x) = 3 – 2x at (-1,5). a) -1 b) -2 c) 1/2 d) 2 e) None of the above

1. Find the slope of the tangent line to the graph of the following function at the indicated point, f(x) = 3 – 2x at (-1,5). a) -1 b) -2 c) 1/2 d) 2 e) None of the above

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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1. Find the slope of the tangent line to the graph of the following function at the indicated point, f(x) = 3 – 2x at (-1,5). a) -1 b) -2 c) 1/2 d) 2 e) None of the above 2. Which of the following functions are NOT everywhere continuous? a) f(x) = *²-4 b) f(x) = (x + 3)* c) f(x) = 1066 d) f(x) = mx + b e) None of the above 3. Which of the following functions are continuous? a) f(x) =lxl x+2 ( 3 , x< 4 b) f(x) = {1 Ex+3 , x 24 c) f(x) =! d) f(x) = {In x ,x<0 ,x = 0 e) None of the above 4. Which of the following functions are NOT differentiable? a) f(x) =lxl b) f(x) = (x + 3)* c) f(x) = 1066 d) f(x) = mx + b e) None of the above 5. Find the derivative of the given function, f(x) = 1966. a) +o b) 1966 c) -00 d) 0 e) None of the above
Transcribed Image Text:1. Find the slope of the tangent line to the graph of the following function at the indicated point, f(x) = 3 – 2x at (-1,5). a) -1 b) -2 c) 1/2 d) 2 e) None of the above 2. Which of the following functions are NOT everywhere continuous? a) f(x) = *²-4 b) f(x) = (x + 3)* c) f(x) = 1066 d) f(x) = mx + b e) None of the above 3. Which of the following functions are continuous? a) f(x) =lxl x+2 ( 3 , x< 4 b) f(x) = {1 Ex+3 , x 24 c) f(x) =! d) f(x) = {In x ,x<0 ,x = 0 e) None of the above 4. Which of the following functions are NOT differentiable? a) f(x) =lxl b) f(x) = (x + 3)* c) f(x) = 1066 d) f(x) = mx + b e) None of the above 5. Find the derivative of the given function, f(x) = 1966. a) +o b) 1966 c) -00 d) 0 e) None of the above
7. Find the derivative of the function: f(x) = x'/½ a) f'(x) = -; b) f'(x) = c) f'(x) = d) f'(x) = Vx e) None of the above 8. Find the derivative of the function: f(x) = 5x²(x + 47) a) f'(x) = 15x² + 470x b) f'(x) = 5x² + 470x c) f'(x) = 10x d) f'(x) = 15x² – 470x e) None of the above 5x2 9. Find the derivative of the function: f(x) = x+47 5x²-470x (x+47)2 10x*+470x a) f'(x) =: b) f'(x) =- x+47 c) f'(x) = 10x d) f'(x) = 5x²+470 (x+47)² e) None of the above 10. Find the derivative of the function: f(x) = 5(x + 47)² a) f'(x) = 5x² + 470x b) f'(x) = 10x – 470 c) f'(x) = 10x + 470 d) f'(x) = 5x² – 470x e) None of the above
Transcribed Image Text:7. Find the derivative of the function: f(x) = x'/½ a) f'(x) = -; b) f'(x) = c) f'(x) = d) f'(x) = Vx e) None of the above 8. Find the derivative of the function: f(x) = 5x²(x + 47) a) f'(x) = 15x² + 470x b) f'(x) = 5x² + 470x c) f'(x) = 10x d) f'(x) = 15x² – 470x e) None of the above 5x2 9. Find the derivative of the function: f(x) = x+47 5x²-470x (x+47)2 10x*+470x a) f'(x) =: b) f'(x) =- x+47 c) f'(x) = 10x d) f'(x) = 5x²+470 (x+47)² e) None of the above 10. Find the derivative of the function: f(x) = 5(x + 47)² a) f'(x) = 5x² + 470x b) f'(x) = 10x – 470 c) f'(x) = 10x + 470 d) f'(x) = 5x² – 470x e) None of the above
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