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ID:
Class: 12
Subject: Math
Topic: Application of Derivative
Type: Short
Question:
Find the intervals in which the function \(f(x) = x^2 + 2x - 5\) is strictly increasing or strictly decreasing.
Official Solution
Explanation:
We have:
\[f'(x) = 2x + 2\]
Setting \(f'(x) = 0\):
\[2x + 2 = 0 \Rightarrow x = -1\]
In \((-\infty, -1)\), \[f'(x) < 0 ⟹ \text {strictly decreasing}\]
In \((-1, \infty)\), \[f'(x) > 0 ⟹ \text{strictly increasing}\]
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