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Let a, b ∈ R and f : R → R be defined by f(x) = a cos(|x3 – x|) + b|x| sin(|x3 + x|). Then f is (A) differentiable at x = 0 if a = 0 and b = 1 (B) differentiable at x = 1 if a = 1 and b = 0 (C) NOT differentiable at x = 0 if a = 1 and b = 0 (D) NOT differentiable at x = 1 if a = 1 and b = 1 |
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Answer» (A) differentiable at x = 0 if a = 0 and b = 1 (B) differentiable at x = 1 if a = 1 and b = 0 f(x) = a cos(x3 – x) + bx sin(x(x2 + 1)) It is a differentiable function ∀ x∈R |
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