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1. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx = sinx

1. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx = sinx

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. 2. 3. 5. 6. 7. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx - - If f(x) = 4e-4x, then the second derivative, f'(x) = ? a) 64e-4x b) -64e-4x c) -12e-4x d) none of these State the slope of the tangent to y = ln (2x + 1) at x = 1 1 a) b) c) 3/ d) 2 In3 In3 TU Find the slope of the tangent to y = sin² (2x) at x = 12 a) −√³ b) -√3 c) 2/1/2 d) √3 2 4 = -In (x), determine the x coordinate of the point on the For the curve with equation y curve where the slope of the tangent a) x = −6 b) x = 1 c) x = = /²/2 d) none of these 42x Determine the derivative of the curve with equation y = a) 4²x In4 b) 4²x In2 c) 4* In2 d) 2.4²x In4 If h(x) = 2xe*, then f'(-1) = ? a) 0 b) 2e c) 2 +2e-1 sinx d) 2e-²
Transcribed Image Text:1. 2. 3. 5. 6. 7. If f(x) = cos²x, then the derivative, f'(x) = ? a) 2sinx b) −2 sin x cosx c) 2cosx d) 2 cosx - - If f(x) = 4e-4x, then the second derivative, f'(x) = ? a) 64e-4x b) -64e-4x c) -12e-4x d) none of these State the slope of the tangent to y = ln (2x + 1) at x = 1 1 a) b) c) 3/ d) 2 In3 In3 TU Find the slope of the tangent to y = sin² (2x) at x = 12 a) −√³ b) -√3 c) 2/1/2 d) √3 2 4 = -In (x), determine the x coordinate of the point on the For the curve with equation y curve where the slope of the tangent a) x = −6 b) x = 1 c) x = = /²/2 d) none of these 42x Determine the derivative of the curve with equation y = a) 4²x In4 b) 4²x In2 c) 4* In2 d) 2.4²x In4 If h(x) = 2xe*, then f'(-1) = ? a) 0 b) 2e c) 2 +2e-1 sinx d) 2e-²
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