Let `a` and `b` are real numbers such that the function `f(x)={(-3ax^(2)-2, xlt1),(bx+a^(2),xge1):}` is differentiable of all `xepsilonR`, thenA. `a=b=7`B. `ab=12`C. `a+b=15`D. `ab=-6`

Let `a` and `b` are real numbers such that the function `f(x)={(-3ax^(

1.	Let `a` and `b` are real numbers such that the function `f(x)={(-3ax^(2)-2, xlt1),(bx+a^(2),xge1):}` is differentiable of all `xepsilonR`, thenA. `a=b=7`B. `ab=12`C. `a+b=15`D. `ab=-6`
Answer» Correct Answer - A::D For continuity `-3a-2=b+a^(2)` for differentiability `-6a=b` `impliesa^(2)-3a+2=0` `impliesa=1,2`

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Let `a` and `b` are real numbers such that the function `f(x)={(-3ax^(2)-2, xlt1),(bx+a^(2),xge1):}` is differentiable of all `xepsilonR`, thenA. `a=b=7`B. `ab=12`C. `a+b=15`D. `ab=-6`

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