As xx varies from −1 to +3, which one of the following describes the behaviour of the function f(x) = x^{3}–3x^{2 }+ 1?
Given the following statements about a function f : R→R, select the right option:
P: If f(x) is continuous at x = x0, then it is also differentiable at x = x_{0}
Q: If f(x) is continuous at x = x_{0}, then it may not be differentiable at x = x_{0}
R: If f(x) is differentiable at x = x_{0}, then it is also continuous at x = x_{0}
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Given f(x) = x^{3} + ax^{2} + bx + c and yintercept for the function is 1. Also f has local extrema at x = 4 and x = 2. Then a + b + c = ____
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55 docs215 tests

55 docs215 tests
