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MODERN PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -RCQs (Questions from Karnataka CET & COMED)
- The derivative of "tan"^(-1)(sinx)/(1+cosx) w.r.t. "tan"^(-1)(cosx)/(1...
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- d/(dx)[cos^(2)(cot^(-1)sqrt((2+x)/(2-x)))]
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- If f(x)=((sin^(2)x)/(1+cotx))+(cos^(2)x)/(1+tan), then f'((pi)/(4)) is...
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- If cos^(-1)((y)/(b))=nlog((x)/(n)), then :
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- f(x)=2a-x in -altxlta=3x-2a in a lex. Then which of the following i...
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- If x+y=tan^(-1)y" and "(d^(2)y)/(dx^(2))=f(y)(dy)/(dx), then f(y)=
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- Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =
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- If y=(1+x)(1+x^(2))(1+x^(4)), then (dy)/(dx) at x=1 is :
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- If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) +...
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- If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....
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- Which of the following functions is differentiable at x=0. ?
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- If x=a(cost+logtant//2),y=asint, then (dy)/(dx)=
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- If f(x)=xtan^(-1)x, then lim(xto1)(f(x)-f(1))/(x-1)=
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- If f(y)=f(x^(2)+2) and f'(3)=5, then (dy)/(dx) at x=1 is :
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- If x = a cos^(3) theta , y = a sin^(3) theta , then 1+((dy)/(dx))^(2)...
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- If the function g(x) is defined by g(x) = (x^(200))/(200) +(x^(199...
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- If f(x)=2x^(2), find (f(3.8)-f(4))/(3.8-4) :
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- If x = ct and y=c/t, find (dy)/(dx) at t=2.
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- If y = log ((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to
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- If f(x) = log(x^(2)) (log(e) x) "then f' (x) at x= e" is
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