Applications Of Derivatives – Maxima and Minima — Practice Quiz
Telangana Open School (TOSS) · Class 12 · Mathematics
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A function f(x) is said to be increasing on an interval if its derivative f'(x) is:
If f'(x) < 0 for all x in (a, b), then f(x) is:
The function f(x) = x^2 is decreasing for:
A point where f'(x) = 0 is called a:
Sample Questions
For a function to have a local maximum at x = a, f'(x) must change sign from:
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Positive to negative
At a local maximum, the derivative changes from positive (increasing) to negative (decreasing).
The function f(x) = 2x + 3 is:
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Increasing
f'(x) = 2 > 0, so the function is increasing everywhere.
If f'(x) = 0 and f''(x) > 0 at a point, then the function has a:
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Local minimum
Second derivative test: if f''(x) > 0, it's a local minimum.
The function f(x) = -x^2 has a maximum at x =:
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