3. Suppose f'(x) is a differentiable decreasing function for all x. In each case, determine which quantity is larger: a) f'(a) or f'(a +1) b) f(a+Ax) or ƒ'(a)^x+ƒ(a)

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
Section3.5: Graphical Differentiation
Problem 1E
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3. Suppose f'(x) is a differentiable decreasing function for all x. In each case, determine which
quantity is larger:
a) f'(a) or f'(a +1)
b) f(a+Ax) or ƒ'(a)^x+ƒ(a)
Transcribed Image Text:3. Suppose f'(x) is a differentiable decreasing function for all x. In each case, determine which quantity is larger: a) f'(a) or f'(a +1) b) f(a+Ax) or ƒ'(a)^x+ƒ(a)
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