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5. Use the limit definition of derivatives to compute f'(x), where f(x) that a, b, c are constants. 6. Use the limit definition of derivatives to compute f'(t), where f(t) 7 t+5' 7. Use the limit definition of derivatives to compute f'(x), where f(x) = √4x + 5. 8. Find the values of m and b that make the following function differentiable at x = 2. f(x) 10. Let f(x) 23 - 2x mx + b x≤2 x > 2. ax²+bx+c. Assume = 9. Let f(x) = 3x2 + 30x+100. Find the point where the tangent line is horizontal and give the equation of the tangent line at that point. Also determine the equation of the tangent line when x = 2. = x² + ²√²/2+√√x + e +ae + e where c is a constant and e is the base of the natural

5. Use the limit definition of derivatives to compute f'(x), where f(x) that a, b, c are constants. 6. Use the limit definition of derivatives to compute f'(t), where f(t) 7 t+5' 7. Use the limit definition of derivatives to compute f'(x), where f(x) = √4x + 5. 8. Find the values of m and b that make the following function differentiable at x = 2. f(x) 10. Let f(x) 23 - 2x mx + b x≤2 x > 2. ax²+bx+c. Assume = 9. Let f(x) = 3x2 + 30x+100. Find the point where the tangent line is horizontal and give the equation of the tangent line at that point. Also determine the equation of the tangent line when x = 2. = x² + ²√²/2+√√x + e +ae + e where c is a constant and e is the base of the natural

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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5. Use the limit definition of derivatives to compute f'(x), where f(x) = ax² + bx+c. Assume that a, b, c are constants. 7 t + 5* 7. Use the limit definition of derivatives to compute f'(x), where f(x) = √4x + 5. 8. Find the values of m and b that make the following function differentiable at x = = 2. 6. Use the limit definition of derivatives to compute f'(t), where f(t) f(x) = = < x³ - 2x x≤2 x > 2. mx + b = 9. Let f(x) = 3x² +30x + 100. Find the point where the tangent line is horizontal and give the equation of the tangent line at that point. Also determine the equation of the tangent line when x = 2. X 10. Let f(x) = x² + 1⁄2 + √√x+ex + x² + eª where c is a constant and e is the base of the natural logarithms. Determine the first, second and third derivatives f'(x), ƒ"(x), ƒ""(x). 1
Transcribed Image Text:5. Use the limit definition of derivatives to compute f'(x), where f(x) = ax² + bx+c. Assume that a, b, c are constants. 7 t + 5* 7. Use the limit definition of derivatives to compute f'(x), where f(x) = √4x + 5. 8. Find the values of m and b that make the following function differentiable at x = = 2. 6. Use the limit definition of derivatives to compute f'(t), where f(t) f(x) = = < x³ - 2x x≤2 x > 2. mx + b = 9. Let f(x) = 3x² +30x + 100. Find the point where the tangent line is horizontal and give the equation of the tangent line at that point. Also determine the equation of the tangent line when x = 2. X 10. Let f(x) = x² + 1⁄2 + √√x+ex + x² + eª where c is a constant and e is the base of the natural logarithms. Determine the first, second and third derivatives f'(x), ƒ"(x), ƒ""(x). 1
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