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If [t] denotes the greatest integer ≤ t, then number of points, at which the function f(x) = 4 | 2x + 3| + 9 [x + 1/2] - 12 [x + 20] is not differentiable in the open interval (-20, 20), is___. |
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Answer» Correct answer is 79 f(x) = 4|2x + 3| + 9[x +1/2] -12[x + 20] x ∈ (-20, 20) f(x) is not Diff. at x = I∈{-19, -18, ....0,...19} = 39 at x = I + 1/2 , f(x) Non diff. at 39 points Check at x = -3/2 Discount at x = -3/2 ∴ N.R(1) No. of point of non-differentiabilty = 39 + 39 + 1 = 79 |
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