The inequalities f-1- -4-f1 - 0 f3 - 5 are known to hold for fx-ax2-bx-c then the least value of -a- is-

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Derivative from First Principle

The inequalit...

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The inequalities $f (- 1) \leq - 4, f (1) \leq 0$ & $f (3) \leq 5$ are known to hold for $f (x) = a x^{2} + b x + c$ then the least value of $^{'} a^{'}$ is:

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f (x) = a x^{2} + b x + c

f (- 1) < 1, f (1) > - 1, f (3) < - 4

a \neq 0

f (x) = a x^{2} + b x + c

g (x) = p x^{2} + q x

g (1) = f (1), g (2) - f (2) = 1, g (3) - f (3) = 4,

g (4) - f (4)

f (x) = x^{3} + a x^{2} + b x + c .

f (1) = 4, f (2) = 8.

f (6) - f (- 3)

f (x) = x^{3} - a x^{2} + b x - 4, x \in [1, 2]

f^{'} (\frac{4}{3}) = 0,

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