Consider that `f : R rarr R`
(i) Let `f(x) = x^(3) + x^(2) + ax + 4` be bijective, then find a.
(ii) Let `f(x) = x^(3) + bx^(2) + cx + d` is bijective, then find the condition.

Explanation

To solve the given problem, we will break it down into two parts as specified in the question.

### Part (i): Finding the value of 'a' for the function \( f(x) = x^3 + x^2 + ax + 4 \) to be bijective.

1. **Understanding Bijectiveness**: A function is bijective if it is both one-to-one (injective) and onto (surjective). For polynomial functions, we primarily check the injectiveness by analyzing the derivative.

2. **Finding the Derivative**:
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