Applications Of Derivatives – Maxima and Minima — Formula Sheet
Telangana Open School (TOSS) · Class 12 · Mathematics
7 formulas from Applications Of Derivatives – Maxima and Minima (Telangana Open School (TOSS) Class 12 Mathematics) on one page, grouped by topic.
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Formulas and Key Relations
Increasing and Decreasing Functions
f'(x) > 0 ⇒ f(x) is increasing
f'(x) < 0 ⇒ f(x) is decreasing
Stationary Points and Critical Points
f'(x) = 0
If f'(x) ≥ 0 on an interval, f is monotonically increasing.
If f'(x) ≤ 0 on an interval, f is monotonically decreasing.
Stationary points occur where f'(x) = 0.
Key relations
These are points where the first derivative of a function is zero (f'(x) = 0).
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