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BES ime 40 Marks 40, , Q1.Consider the following statement :, I differentiable function is continuous, II continuous function is differentiable, , III a continuous on closed interval [a b] of finite length is, uniformly continuous on [a b], , Which of the following is correct?, , (a) I,Itand Il, (b) Wand II, (c) Tand I, (d) land II, , Q2, The function f(x) = {rs (2). «+ °} is?, 0, x=0, (a) Continuous at x=0 but not differentiable at x=0, (b)_ Differentiable at x=0, (c) Discontinuous at x=0, (d) Twice differentiable at x=0, , MATHFLIX MATH CLASSES( t.me/mastercadremaths2020 ) youtube, channel : mathflix math classes

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BES ime 40 Marks 40, , QB. IF x)= = is?, , (a) Continuous everywhere, , (b) Differentiable nowhere everywhere, , (c) Differentiable everywhere except at x=0, (d) All of above, , Q4. F(x) = |x — al + [x — b| then?, , (a) F(x) is not continuous for all x€ R, (b) F(x) is differentiable for all x€ R, (c) FC, (d) F(, , x) is continuous except at x=a and x=b, x) is differentiable except at x=a and x=b, , Q5. The function f(x) = x-|x| is not differentiable at, , (a) X=1, (b) X=, (©) X=0, , (d) nowhere, , 1, whenx <0, Q6. If f(x) =} 1+ sinx,when0<x< . then at x=0, f’(x) equal, , (a) 1, (b) 0, () », (d) Does not exist, , MATHFLIX MATH CLASSES( t.me/mastercadremaths2020 ) youtube, channel : mathflix math classes

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BES ime 40 Marks 40, , Q7. Derivative of sinxcosx w.r.t x is, , Sin2x, , a) =, (b) Cos2x, (c) 2sin2x, (d) 2cosx, , , , Q8. The set of points where the function f given by, f(x) =|2x — 1|sinx is differentiable, is, (a) R, 1, Om, (c) ( ~), (d) None of these, , Q9. Rolle’s theorem is not applicable to f(x)= |x| in [-2 2], Because, , (a) f is not continuous, , (b) f is not derivable in (—2 2), (c) f(2) # f(-2), , (d) All of above, , MATHFLIX MATH CLASSES( t.me/mastercadremaths2020 ), channel : mathflix math classes, , youtube

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BES ime 40 Marks 40, , Q13. Which of the following is not differentiable at x=1, (a) Sin-1(x), , (b) Tanx, , (c) a*, , (d) Sinx, , QUA. f(x)= fe x # °} , then at x = 0, f(x) is, 0, x«=0, , (a) Continuous and differentiable, , (b) Neither continuous nor differentiable, (c) Continuous but not differentiable, , (d) None of these, , x’, x<0, QI5. f(x) = 0<xs | is?, , =, x>1, x, , (a) Differentiable at x=0,1, , (b) Differentiable only at x=0, (c) Differentiable at only x=1, (d) Not differentiable at x=0,1, , Q16.f(x)= {x® + 5*}, then f'(1)equals, , (a) 6+ log5*, (b) 6+5log5S*, (c) 6+5*logS, (d) 6+5log5, , MATHFLIX MATH CLASSES( t.me/mastercadremaths2020 ) youtube, channel : mathflix math classes