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In Exercises 1-4, use the definition S'(a) = lim a + h) – f(a) h h40 to find the derivative of the given function at the indicated 1. f(x) = 1/x, a = 2 2. f(x) = x2 + 4, a 1 3. f(x) = 3 - x², a-1 4. f(x) = x + x, a = 0

In Exercises 1-4, use the definition S'(a) = lim a + h) – f(a) h h40 to find the derivative of the given function at the indicated 1. f(x) = 1/x, a = 2 2. f(x) = x2 + 4, a 1 3. f(x) = 3 - x², a-1 4. f(x) = x + x, a = 0

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 10CR
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In Exercises 1-4, use the definition f'(a) = lim la + h) – f(a) h to find the derivative of the given function at the indicated 1. f(x) = 1/x, a = 2 2. f(x) = x? + 4, a = 1 3. f(x) = 3 – x2, a = -1 In Exercises 5-8, use the definition 4. f(x) = x3 + x, a = 0 %3D f(x) – f(a} x - a f'(a) = lim to find the derivative of the given function at the indicated 5. f(x) = 1/x, a = 2 6. f(x) = x2 + 4, a = 1 %3D 7. f(x) = Vx + 1, a = 3 8. f(x) = 2x + 3, a = -1
Transcribed Image Text:In Exercises 1-4, use the definition f'(a) = lim la + h) – f(a) h to find the derivative of the given function at the indicated 1. f(x) = 1/x, a = 2 2. f(x) = x? + 4, a = 1 3. f(x) = 3 – x2, a = -1 In Exercises 5-8, use the definition 4. f(x) = x3 + x, a = 0 %3D f(x) – f(a} x - a f'(a) = lim to find the derivative of the given function at the indicated 5. f(x) = 1/x, a = 2 6. f(x) = x2 + 4, a = 1 %3D 7. f(x) = Vx + 1, a = 3 8. f(x) = 2x + 3, a = -1
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