1.

Maximum and Minimum Values of a Function.

Answer»

Maximum Value of a Function:
y = f(x). If h is a very small positive number and f(a) > f(a + h) and f(a) > f(a – h), then at x = a, the function f(x) is called maximum.

The conditions for maximisation of function at x = a:

  • Necessary condition: f(a) = 0
  • Sufficient condition: f”(a) < 0 (Negative)

Minimum Value of a Function:
y = f(x). If h is . a very small positive number and f(a) < f(a + h) and f(a) < f(a – h), then at x = a, the function f(x) is called minimum.

The condition for minimisation of function at x = a:

  • Necessary condition: f(a) = 0
  • Sufficient condition: f(a) > 0 (Positive)


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