Let f: → defined by f(x)= x², if x < 0 2x+x², if x20 From the following, the correct statement is, (a) f'(0) exists. (b) f(0) exists. (c) f" (0) exists. (d) f'(x) exists for each x = 0.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Let ƒ: → defined by ƒ(x)=
f:
x², if x < 0
2x+x², if x20
From the following, the correct statement is,
(a) f'(0) exists.
(b) f'(0) exists.
(c) f"(0)exists.
(d) f'(x) exists for each x 0.
Transcribed Image Text:Let ƒ: → defined by ƒ(x)= f: x², if x < 0 2x+x², if x20 From the following, the correct statement is, (a) f'(0) exists. (b) f'(0) exists. (c) f"(0)exists. (d) f'(x) exists for each x 0.
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