Q48
A function f(x) is defined as \[ f ( x ) = \ array*20c e^x& x < 1 \\ x + a x^2 + bx,& x 1 array .\] where x\[ \] R which one of the following statements is TRUE?
A function f(x) is defined as
{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {{{\text{e}}^x}}&{{\text{x}} < 1} \\ {\ln {\text{x}} + {\text{a}}{{\text{x}}^2} + {\text{bx}},}&{{\text{x}} \geqslant 1} \end{array}} \right.
where x R which one of the following statements is TRUE?
{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {{{\text{e}}^x}}&{{\text{x}} < 1} \\ {\ln {\text{x}} + {\text{a}}{{\text{x}}^2} + {\text{bx}},}&{{\text{x}} \geqslant 1} \end{array}} \right.
where x R which one of the following statements is TRUE?
A.
f(x) is NOT differentiable at x = 1 for any values of a and b
AnswerB.
f(x) is differentiable at x = 1 for the unique values of a and b
C.
f(x) is differentiable at x = 1 for all the values of a and b such that a + b = e
D.
f(x) is differentiable at x = 1 for all values of a and b
Answer: Option A
Solution
Answer: Option A
No explanation is given for this question Let's Discuss on Board