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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -Questions from Previous Years. AIEEE/JEE Main Papers
- For a gt 0, t in (0, (pi)/(2)), let x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(co...
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- If y=sec(tan^(-1)x), then (dy)/(dx)|(x=1) is equal to
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- Let f(x)=(x^(2)-x)/(x^(2)+2x),x ne 0,-2. Then (d)/(dx)(f^(-1)(x)) (whe...
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- If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...
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- Let f(x)=x|x|, g(x)=sin x and h(x)=go f(x). Then
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- If f(x)=x^(2)-x+5,x gt (1)/(2), and g(x) is its inverse function, then...
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- Let f:R to R be function such that |f(x)|le x^(2) for all x in R. Than...
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- If y=e^(nx), then ((d^(2)y)/(dx^(2)))(d^(2)x)/(dy^(2)) is equal to
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- If the function g(x)={{:(k sqrt(x+1)",",,0 le x le 3),(mx+2",",,3lt x ...
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- For x in R,f(x)=|log2-sinx| and g(x)=f(f(x)), then
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- If f(x) is differentiability function in the internal (0,oo) such that...
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- If the function f(x)={{:(-x",",,x lt 1),(a+cos^(-1)(x+b),,1 le x le 2)...
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- If y=[x+sqrt(x^(2)-1)]^(15)+[x-sqrt(x^(2)-1)]^(15) then (x^(2)-1)(d^(2...
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- If 2x=y^(1//5)+y^(-1//5) and (x^(2)-1)(d^(2)y)/(dx^(2))+lambdax""(dy)/...
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- If for x in (0,1//4), derivative of tan^(-1)((6xsqrt(x))/(1-9x^(3))) i...
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- If x^(2)+y^(2)+sin y=4, then the value of (d^(2)y)/(dx^(2)) at the poi...
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- If f(x)=|{:(cosx,x,1),(2sinx,x^(2),2x),(tan x,x,1):}|, then underset(x...
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- If f(x)=sin^(-1)((2xx3^(x))/(1+9^(x))), then f'(-(1)/(2)) is equal to
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- For each x in R, let f(x)=|x-1|,g(x)=cosx and phi(x) and f(g(2sinx))-g...
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- Let S={lambda, mu)epsilon R xxx R:f(t)=(|lambda|e^(|t|)-mu).sin(2|t|,)...
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