Find the intervals in which the following functions are strictly increasing or decreasing:(a `x^2+2x-5` (b) `10-6x-2x^2` (c) `6-9x-x^2`(d) `(x+1)^3(x-3)^3`

Explanation

To find the intervals in which the given functions are strictly increasing or decreasing, we will follow these steps:

1. **Find the derivative of the function.**
2. **Determine where the derivative is greater than zero (increasing) and where it is less than zero (decreasing).**
3. **Identify the critical points and test intervals around these points.**

Let's solve each part step by step.

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