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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
- If f(x)= {(x",",x in {0, 1}),(1",",x ge 1):} then, ……
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- (d)/(dx). ((1)/(log|x|))= …….
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- If y= a sin x + b cos x then, y^(2) + (y(1))^(2)= ……. (a^(2) + b^(2) n...
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- (d)/(dx) (x^(2) + sin^(2) x)^(3) =…….
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- (d)/(dx) ( sqrt(x sin x))= …… (0 lt x lt pi)
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- (d)/(dx) (e^(sin^(-1)x + cos^(-1) x))= …….(|x| lt 1)
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- If function f(x) is continuous at x= 0, f(x)= {((sin (4x))/(9x)",",x n...
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- If x= a t^(2), y= 2 a t" then " (dy)/(dx) = …., where t ne 0
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- (d)/(dx) (log(5) x^(2))= ……..
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- Derivative of tan^(-1)x w.r. to cot^(-1)x is ……. Where x in R
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- If y= log (x + sqrt(x^(2) + a^(2))) then (dy)/(dx)= ………
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- If y= log(10) sin x then (dy)/(dx) = ……..
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- y= sqrt(sin x + sqrt(sin x + sqrt(sin x + …….oo))) then (dy)/(dx)=………
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- f(x)= x^(2) e^(2(x-1)), 0 lt x lt 1 and f(x) = a "sgn" (x+1) cos (2x-2...
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- The value of f(0), so that f(x)= (sqrt(a^(2)-ax + x^(2))-sqrt(a^(2) + ...
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- f(x+ y) = f(x) f(y), For AA x and y. If f(3)= 3 and f'(0) =11 then f'(...
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- f(x)= [x] + sqrt(x -[x]), where [.] is a greatest integer function the...
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- The function f(x)= (sin 3x)^(tan^(2)3x) is continuous at x= (pi)/(6) t...
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- y^(2) = ax^(2) +bx + c then y^(3) (d^(2)y)/(dx^(2)) is a …….. function
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- f(x)= x + tan x and f is an inverse function of g then g'(x)= ……..
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