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Question Suppose g(x) is differentiable at x = 10, g(10) = −4, and g'(10) = 0. Select all statements that must be true. Select all that apply: g(x) is continuous at x = 0. lim h→0 g(10 + h) – g(10) h lim g(x) exists. x->0 lim g(x) = -4. x-10 None of the above. = 0.

Question Suppose g(x) is differentiable at x = 10, g(10) = −4, and g'(10) = 0. Select all statements that must be true. Select all that apply: g(x) is continuous at x = 0. lim h→0 g(10 + h) – g(10) h lim g(x) exists. x->0 lim g(x) = -4. x-10 None of the above. = 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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 20E
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Question Suppose g(x) is differentiable at x = 10, g(10) = -4, and g'(10) = 0. Select all statements that must be true. Select all that apply: g(x) is continuous at x = 0. g(10 + h) – g(10) h lim h→0 lim g(x) exists. x-0 lim g(x) = -4. x 10 None of the above. = 0.
Transcribed Image Text:Question Suppose g(x) is differentiable at x = 10, g(10) = -4, and g'(10) = 0. Select all statements that must be true. Select all that apply: g(x) is continuous at x = 0. g(10 + h) – g(10) h lim h→0 lim g(x) exists. x-0 lim g(x) = -4. x 10 None of the above. = 0.
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