Let f(x) = { tan^−1 ⁡(2x) if x ≥ 0, ax+b if x < 0. For which values of a and b is f(x) differentiable for every real number? Show your work.

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter3: The Derivative
Section3.2: Continuity
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Let f(x) = { tan^−1 ⁡(2x) if x ≥ 0, ax+b if x < 0. For which values of a and b is f(x) differentiable for every real number? Show your work.

if x>0
Let f(x) =
tan ¹ (2x)
ax+b
if x<0
for every real number? Show your work.
For which values of a and b is f(x) differentiable
Transcribed Image Text:if x>0 Let f(x) = tan ¹ (2x) ax+b if x<0 for every real number? Show your work. For which values of a and b is f(x) differentiable
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