35. What values of a and b would make the function differentiable at the given value of x? At \( x = 1 \).

\[f(x) = \begin{cases} \frac{a}{x^2} + x^3 - 2, & x \leq 1 \\ x^2 + bx + 1, & x > 1 \end{cases}\]






Answer is: option2

\(a = 4/3 , b = -5/3, \)

Solution:

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