(A) A = -2, B = -8 (D) A = 8, B = 2 f(x) = Let f: RR be the function defined by Ax³ + Bx+2 Br² - A if x ≤ 2 if x > 2. Find A and B so that the derivative of f is continu- ous on R. (B) A = -8, B = -2 (E) A = B = 2 (C) A = 2, B = 8

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
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(A) A = -2, B = -8
(D) A = 8, B = 2
f(x):
=
Let f RR be the function defined by
:
Ax³ + Bx + 2
Bx² - A
if x ≤ 2
if x > 2.
Find A and B so that the derivative of f is continu-
ous on R.
(B) A = -8, B = -2
(E) A = B = 2
(C) A = 2, B = 8
Transcribed Image Text:(A) A = -2, B = -8 (D) A = 8, B = 2 f(x): = Let f RR be the function defined by : Ax³ + Bx + 2 Bx² - A if x ≤ 2 if x > 2. Find A and B so that the derivative of f is continu- ous on R. (B) A = -8, B = -2 (E) A = B = 2 (C) A = 2, B = 8
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